diff --git a/apps/minifront/src/fetchers/balances/by-priority-score.ts b/apps/minifront/src/fetchers/balances/by-priority-score.ts
index a1399fd1da..9cf98616b5 100644
--- a/apps/minifront/src/fetchers/balances/by-priority-score.ts
+++ b/apps/minifront/src/fetchers/balances/by-priority-score.ts
@@ -2,6 +2,7 @@ import { BalancesResponse } from '@penumbra-zone/protobuf/penumbra/view/v1/view_
 import {
   getMetadataFromBalancesResponseOptional,
   getAmount,
+  getAddressIndex,
 } from '@penumbra-zone/getters/balances-response';
 import { multiplyAmountByNumber, joinLoHiAmount } from '@penumbra-zone/types/amount';
 
@@ -21,3 +22,14 @@ export const sortByPriorityScore = (a: BalancesResponse, b: BalancesResponse) =>
 
   return Number(bPriority - aPriority);
 };
+
+export const sortByPriorityScoreAndAccountIndex = (a: BalancesResponse, b: BalancesResponse) => {
+  const aIndex = getAddressIndex.optional()(a)?.account ?? Infinity;
+  const bIndex = getAddressIndex.optional()(b)?.account ?? Infinity;
+
+  if (aIndex === bIndex) {
+    return sortByPriorityScore(a, b);
+  }
+
+  return aIndex - bIndex;
+};
diff --git a/apps/minifront/src/state/swap/helpers.ts b/apps/minifront/src/state/swap/helpers.ts
index 761ef7a794..a05796e250 100644
--- a/apps/minifront/src/state/swap/helpers.ts
+++ b/apps/minifront/src/state/swap/helpers.ts
@@ -20,7 +20,7 @@ import { isKnown } from '../helpers';
 import { AbridgedZQueryState } from '@penumbra-zone/zquery/src/types';
 import { penumbra } from '../../prax';
 import { DexService, SimulationService } from '@penumbra-zone/protobuf';
-import { sortByPriorityScore } from '../../fetchers/balances/by-priority-score.ts';
+import { sortByPriorityScoreAndAccountIndex } from '../../fetchers/balances/by-priority-score.ts';
 
 export const sendSimulateTradeRequest = ({
   assetIn,
@@ -173,7 +173,7 @@ export const swappableBalancesResponsesSelector = (
   data: zQueryState.data
     ?.filter(isKnown)
     .filter(balance => isSwappable(getMetadata(balance.balanceView)))
-    .sort(sortByPriorityScore),
+    .sort(sortByPriorityScoreAndAccountIndex),
 });
 
 export const swappableAssetsSelector = (zQueryState: AbridgedZQueryState<Metadata[]>) => ({