diff --git a/builder/Dockerfile.centos-7 b/builder/Dockerfile.centos-7
index 61451ec..a038cad 100644
--- a/builder/Dockerfile.centos-7
+++ b/builder/Dockerfile.centos-7
@@ -73,4 +73,5 @@ ENV R_RD4PDF="times,hyper"
 
 COPY package.centos-7 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.centos-8 b/builder/Dockerfile.centos-8
index 5c535ab..fa8d8f6 100644
--- a/builder/Dockerfile.centos-8
+++ b/builder/Dockerfile.centos-8
@@ -74,4 +74,5 @@ ENV R_RD4PDF="times,hyper"
 
 COPY package.centos-8 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.debian-10 b/builder/Dockerfile.debian-10
index 67b5e08..1afcac5 100644
--- a/builder/Dockerfile.debian-10
+++ b/builder/Dockerfile.debian-10
@@ -23,4 +23,5 @@ ENV PAGER /usr/bin/pager
 
 COPY package.debian-10 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.debian-11 b/builder/Dockerfile.debian-11
index b31afda..b8328af 100644
--- a/builder/Dockerfile.debian-11
+++ b/builder/Dockerfile.debian-11
@@ -26,4 +26,5 @@ ENV INCLUDE_PCRE2_IN_R_3 yes
 
 COPY package.debian-11 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.debian-12 b/builder/Dockerfile.debian-12
index 5bc8746..f5f4d2b 100644
--- a/builder/Dockerfile.debian-12
+++ b/builder/Dockerfile.debian-12
@@ -30,4 +30,5 @@ ENV INCLUDE_PCRE2_IN_R_3 yes
 
 COPY package.debian-12 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.opensuse-154 b/builder/Dockerfile.opensuse-154
index 1271a03..780bbfc 100644
--- a/builder/Dockerfile.opensuse-154
+++ b/builder/Dockerfile.opensuse-154
@@ -99,4 +99,5 @@ ENV JAVA_HOME=/usr/lib64/jvm/jre-11-openjdk
 
 COPY package.opensuse-154 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.rhel-9 b/builder/Dockerfile.rhel-9
index 0985ae1..c30f876 100644
--- a/builder/Dockerfile.rhel-9
+++ b/builder/Dockerfile.rhel-9
@@ -90,4 +90,5 @@ ENV INCLUDE_PCRE2_IN_R_3 yes
 
 COPY package.rhel-9 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.ubuntu-2004 b/builder/Dockerfile.ubuntu-2004
index 6e89ff7..7560ea8 100644
--- a/builder/Dockerfile.ubuntu-2004
+++ b/builder/Dockerfile.ubuntu-2004
@@ -22,4 +22,5 @@ ENV PAGER /usr/bin/pager
 
 COPY package.ubuntu-2004 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/Dockerfile.ubuntu-2204 b/builder/Dockerfile.ubuntu-2204
index 18ea4a0..4a7bb38 100644
--- a/builder/Dockerfile.ubuntu-2204
+++ b/builder/Dockerfile.ubuntu-2204
@@ -25,4 +25,5 @@ ENV INCLUDE_PCRE2_IN_R_3 yes
 
 COPY package.ubuntu-2204 /package.sh
 COPY build.sh .
+COPY patches /patches
 ENTRYPOINT ./build.sh
diff --git a/builder/build.sh b/builder/build.sh
index 6cee816..ae3dcda 100755
--- a/builder/build.sh
+++ b/builder/build.sh
@@ -71,6 +71,10 @@ patch_r() {
   if [ -f "/patches/R-${1}.patch" ]; then
       patch -p1 < "/patches/R-${1}.patch"
   fi
+
+  if [ -f "/patches/R-${1}-${OS_IDENTIFIER}.patch" ]; then
+      patch -p1 < "/patches/R-${1}-${OS_IDENTIFIER}.patch"
+  fi
 }
 
 # compile_r() - $1 as r version
diff --git a/builder/patches/R-3.3.0.patch b/builder/patches/R-3.3.0.patch
new file mode 100644
index 0000000..f87bf6b
--- /dev/null
+++ b/builder/patches/R-3.3.0.patch
@@ -0,0 +1,20 @@
+diff --git a/configure b/configure
+index e53821d..d26fd72 100755
+--- a/configure
++++ b/configure
+@@ -35496,10 +35496,11 @@ else
+ #include <string.h>
+ #include <zlib.h>
+ int main() {
+-#ifdef ZLIB_VERSION
+-/* Work around Debian bug: it uses 1.2.3.4 even though there was no such
+-   version on the master site zlib.net */
+-  exit(strncmp(ZLIB_VERSION, "1.2.5", 5) < 0);
++#ifdef ZLIB_VERNUM
++  if (ZLIB_VERNUM < 0x1250) {
++    exit(1);
++  }
++  exit(0);
+ #else
+   exit(1);
+ #endif
diff --git a/builder/patches/R-3.3.1.patch b/builder/patches/R-3.3.1.patch
new file mode 100644
index 0000000..f87bf6b
--- /dev/null
+++ b/builder/patches/R-3.3.1.patch
@@ -0,0 +1,20 @@
+diff --git a/configure b/configure
+index e53821d..d26fd72 100755
+--- a/configure
++++ b/configure
+@@ -35496,10 +35496,11 @@ else
+ #include <string.h>
+ #include <zlib.h>
+ int main() {
+-#ifdef ZLIB_VERSION
+-/* Work around Debian bug: it uses 1.2.3.4 even though there was no such
+-   version on the master site zlib.net */
+-  exit(strncmp(ZLIB_VERSION, "1.2.5", 5) < 0);
++#ifdef ZLIB_VERNUM
++  if (ZLIB_VERNUM < 0x1250) {
++    exit(1);
++  }
++  exit(0);
+ #else
+   exit(1);
+ #endif
diff --git a/builder/patches/R-3.3.2.patch b/builder/patches/R-3.3.2.patch
new file mode 100644
index 0000000..f87bf6b
--- /dev/null
+++ b/builder/patches/R-3.3.2.patch
@@ -0,0 +1,20 @@
+diff --git a/configure b/configure
+index e53821d..d26fd72 100755
+--- a/configure
++++ b/configure
+@@ -35496,10 +35496,11 @@ else
+ #include <string.h>
+ #include <zlib.h>
+ int main() {
+-#ifdef ZLIB_VERSION
+-/* Work around Debian bug: it uses 1.2.3.4 even though there was no such
+-   version on the master site zlib.net */
+-  exit(strncmp(ZLIB_VERSION, "1.2.5", 5) < 0);
++#ifdef ZLIB_VERNUM
++  if (ZLIB_VERNUM < 0x1250) {
++    exit(1);
++  }
++  exit(0);
+ #else
+   exit(1);
+ #endif
diff --git a/builder/patches/README.md b/builder/patches/README.md
index e510596..3276631 100644
--- a/builder/patches/README.md
+++ b/builder/patches/README.md
@@ -1,9 +1,9 @@
 # Patches
 
-Patches can be applied for specific R versions and platforms. To add a patch, create a patch file
-at `patches/R-${R_VERSION}.patch` (such as `patches/R-devel.patch`), and add the following line
-to the platform Dockerfile:
+Patches can be applied for specific R versions and platforms. To add a patch for an R version on
+all platforms, create a patch file at `patches/R-${R_VERSION}.patch` (such as
+`patches/R-devel.patch`).
 
-```dockerfile
-COPY patches /patches
-```
+To add a patch for an R version on a specific platform create a patch file at
+`patches/R-${R_VERSION}-${OS_IDENTIFIER}.patch` (such as
+`patches/R-3.3.0-centos-8.patch`).
diff --git a/handler.py b/handler.py
index 91baf50..f2f9fc9 100644
--- a/handler.py
+++ b/handler.py
@@ -146,12 +146,6 @@ def queue_builds(event, context):
     job_ids = []
     for version in event['versions_to_build']:
         for platform in event['supported_platforms']:
-            # In R 3.3.0, 3.3.1, and 3.3.2, the configure script check for the
-            # zlib version fails to handle versions longer than 5 characters.
-            # Skip builds affected by this bug. Most newer distros will be affected.
-            # https://github.com/rstudio/r-builds/issues/76
-            if version in ['3.3.0', '3.3.1', '3.3.2'] and platform not in ['centos-7']:
-                continue
             job_ids.append(_submit_job(version, platform))
     event['jobIds'] = job_ids
     return event