diff --git a/docs/3.0/api-ref/rest-api/server/schema.json b/docs/3.0/api-ref/rest-api/server/schema.json
index 743c5f9a19fb..ab8b5fca075f 100644
--- a/docs/3.0/api-ref/rest-api/server/schema.json
+++ b/docs/3.0/api-ref/rest-api/server/schema.json
@@ -15755,7 +15755,7 @@
                         "anyOf": [
                             {
                                 "type": "integer",
-                                "minimum": 0.0
+                                "exclusiveMinimum": 0.0
                             },
                             {
                                 "type": "null"
@@ -16994,7 +16994,7 @@
                         "anyOf": [
                             {
                                 "type": "integer",
-                                "minimum": 0.0
+                                "exclusiveMinimum": 0.0
                             },
                             {
                                 "type": "null"
diff --git a/src/prefect/server/schemas/actions.py b/src/prefect/server/schemas/actions.py
index 9ef0e06af9e6..66caafc32714 100644
--- a/src/prefect/server/schemas/actions.py
+++ b/src/prefect/server/schemas/actions.py
@@ -169,7 +169,7 @@ class DeploymentCreate(ActionBaseModel):
         default_factory=list,
         description="A list of schedules for the deployment.",
     )
-    concurrency_limit: Optional[NonNegativeInteger] = Field(
+    concurrency_limit: Optional[PositiveInteger] = Field(
         default=None, description="The deployment's concurrency limit."
     )
     enforce_parameter_schema: bool = Field(
@@ -267,7 +267,7 @@ def remove_old_fields(cls, values):
         default_factory=list,
         description="A list of schedules for the deployment.",
     )
-    concurrency_limit: Optional[NonNegativeInteger] = Field(
+    concurrency_limit: Optional[PositiveInteger] = Field(
         default=None, description="The deployment's concurrency limit."
     )
     parameters: Optional[Dict[str, Any]] = Field(
diff --git a/src/prefect/server/schemas/core.py b/src/prefect/server/schemas/core.py
index b67379d0f638..2ecabb90a3d7 100644
--- a/src/prefect/server/schemas/core.py
+++ b/src/prefect/server/schemas/core.py
@@ -546,7 +546,7 @@ class Deployment(ORMBaseModel):
     schedules: List[DeploymentSchedule] = Field(
         default_factory=list, description="A list of schedules for the deployment."
     )
-    concurrency_limit: Optional[NonNegativeInteger] = Field(
+    concurrency_limit: Optional[PositiveInteger] = Field(
         default=None, description="The concurrency limit for the deployment."
     )
     job_variables: Dict[str, Any] = Field(