diff --git a/test/suites/integration/bsp/multiple-delete.test.ts b/test/suites/integration/bsp/multiple-delete.test.ts
index 68f11d963..dff30e677 100644
--- a/test/suites/integration/bsp/multiple-delete.test.ts
+++ b/test/suites/integration/bsp/multiple-delete.test.ts
@@ -138,8 +138,16 @@ describeBspNet("Single BSP Volunteering", ({ before, createBspApi, it, createUse
     // Wait enough blocks for the deletion to be allowed.
     const currentBlock = await userApi.rpc.chain.getBlock();
     const currentBlockNumber = currentBlock.block.header.number.toNumber();
-    const cooldown =
-      currentBlockNumber + userApi.consts.fileSystem.minWaitForStopStoring.toNumber();
+    const minWaitForStopStoring = (
+      await userApi.query.parameters.parameters({
+        RuntimeConfig: {
+          MinWaitForStopStoring: null
+        }
+      })
+    )
+      .unwrap()
+      .asRuntimeConfig.asMinWaitForStopStoring.toNumber();
+    const cooldown = currentBlockNumber + minWaitForStopStoring;
     await userApi.block.skipTo(cooldown);
 
     for (let i = 0; i < fileKeys.length; i++) {
@@ -281,8 +289,16 @@ describeBspNet("Single BSP Volunteering", ({ before, createBspApi, it, createUse
       // Wait enough blocks for the deletion to be allowed.
       const currentBlock = await userApi.rpc.chain.getBlock();
       const currentBlockNumber = currentBlock.block.header.number.toNumber();
-      const cooldown =
-        currentBlockNumber + userApi.consts.fileSystem.minWaitForStopStoring.toNumber();
+      const minWaitForStopStoring = (
+        await userApi.query.parameters.parameters({
+          RuntimeConfig: {
+            MinWaitForStopStoring: null
+          }
+        })
+      )
+        .unwrap()
+        .asRuntimeConfig.asMinWaitForStopStoring.toNumber();
+      const cooldown = currentBlockNumber + minWaitForStopStoring;
       await userApi.block.skipTo(cooldown);
 
       // Batching the delete confirmation should fail because of the wrong inclusionForestProof for extrinsinc 2 and 3
diff --git a/test/suites/integration/bsp/reorg-proof.test.ts b/test/suites/integration/bsp/reorg-proof.test.ts
index dfaecde42..c0fbda235 100644
--- a/test/suites/integration/bsp/reorg-proof.test.ts
+++ b/test/suites/integration/bsp/reorg-proof.test.ts
@@ -353,7 +353,15 @@ describeBspNet(
       // Wait the required time for the BSP to be able to confirm the deletion.
       const currentBlock = await userApi.rpc.chain.getBlock();
       const currentBlockNumber = currentBlock.block.header.number.toNumber();
-      const minWaitForStopStoring = userApi.consts.fileSystem.minWaitForStopStoring.toNumber();
+      const minWaitForStopStoring = (
+        await userApi.query.parameters.parameters({
+          RuntimeConfig: {
+            MinWaitForStopStoring: null
+          }
+        })
+      )
+        .unwrap()
+        .asRuntimeConfig.asMinWaitForStopStoring.toNumber();
       const blockToAdvanceTo = currentBlockNumber + minWaitForStopStoring;
       await userApi.block.skipTo(blockToAdvanceTo, {
         watchForBspProofs: [userApi.shConsts.DUMMY_BSP_ID]
diff --git a/test/suites/integration/bsp/storage-delete.test.ts b/test/suites/integration/bsp/storage-delete.test.ts
index 15ba4dbd7..71b3a660f 100644
--- a/test/suites/integration/bsp/storage-delete.test.ts
+++ b/test/suites/integration/bsp/storage-delete.test.ts
@@ -109,8 +109,16 @@ describeBspNet(
       // Wait for the right moment to confirm stop storing
       const currentBlock = await userApi.rpc.chain.getBlock();
       const currentBlockNumber = currentBlock.block.header.number.toNumber();
-      const cooldown =
-        currentBlockNumber + userApi.consts.fileSystem.minWaitForStopStoring.toNumber();
+      const minWaitForStopStoring = (
+        await userApi.query.parameters.parameters({
+          RuntimeConfig: {
+            MinWaitForStopStoring: null
+          }
+        })
+      )
+        .unwrap()
+        .asRuntimeConfig.asMinWaitForStopStoring.toNumber();
+      const cooldown = currentBlockNumber + minWaitForStopStoring;
 
       // New storage request does not get fulfilled and therefore gets cleaned up and we enqueue a checkpoint challenge remove mutation
       // Which then the bsp responds to and has the file key get removed from the forest
diff --git a/test/suites/integration/bsp/submit-proofs.test.ts b/test/suites/integration/bsp/submit-proofs.test.ts
index 5434c94f0..2da8dcf5b 100644
--- a/test/suites/integration/bsp/submit-proofs.test.ts
+++ b/test/suites/integration/bsp/submit-proofs.test.ts
@@ -214,8 +214,16 @@ describeBspNet(
       // Wait enough blocks for the deletion to be allowed.
       const currentBlock = await userApi.rpc.chain.getBlock();
       const currentBlockNumber = currentBlock.block.header.number.toNumber();
-      const cooldown =
-        currentBlockNumber + bspThreeApi.consts.fileSystem.minWaitForStopStoring.toNumber();
+      const minWaitForStopStoring = (
+        await userApi.query.parameters.parameters({
+          RuntimeConfig: {
+            MinWaitForStopStoring: null
+          }
+        })
+      )
+        .unwrap()
+        .asRuntimeConfig.asMinWaitForStopStoring.toNumber();
+      const cooldown = currentBlockNumber + minWaitForStopStoring;
       await userApi.block.skipTo(cooldown);
       await userApi.wait.waitForAvailabilityToSendTx(bspThreeKey.address.toString());
 
@@ -280,9 +288,19 @@ describeBspNet(
       oneBspfileMetadata = fileMetadata;
     });
 
-    it("Only one BSP confirms it", async () => {
+    it("Only one BSP confirms it and the MSP accepts it", async () => {
+      // Wait for the MSP acceptance of the file to be in the TX pool
+      await userApi.assert.extrinsicPresent({
+        module: "fileSystem",
+        method: "mspRespondStorageRequestsMultipleBuckets",
+        checkTxPool: true,
+        timeout: 5000
+      });
+
+      // Then wait for the BSP volunteer to be in the TX pool and seal the block
       await userApi.wait.bspVolunteer(1);
 
+      // Finally, wait for the BSP to confirm storing the file and seal the block
       const address = userApi.createType("Address", NODE_INFOS.bsp.AddressId);
       await userApi.wait.bspStored(1, address);
     });
@@ -317,18 +335,6 @@ describeBspNet(
         checkTxPool: true
       });
 
-      await userApi.assert.extrinsicPresent({
-        module: "fileSystem",
-        method: "mspRespondStorageRequestsMultipleBuckets",
-        checkTxPool: true
-      });
-
-      await userApi.assert.extrinsicPresent({
-        module: "fileSystem",
-        method: "mspRespondStorageRequestsMultipleBuckets",
-        checkTxPool: true
-      });
-
       // Seal block and check that the transaction was successful.
       await userApi.block.seal();