/* >>> L1: */const awaitShell = startParallelShell(shellStr, conn.port);

/* >>> L2: */ waitForCurOpByFailPointNoNS(failPointConn.getDB("admin"), failPointName);

/* >>> L3: */ assert.commandWorked(maxTimeMsConn.getDB("admin").runCommand(
    {configureFailPoint: "maxTimeNeverTimeOut", mode: "off"}));

// The aggregation running in the parallel shell will hang on the failpoint, burning
// its time. Wait until the maxTimeMS has definitely expired.
sleep(maxTimeMS + 2000);

// Now drop the failpoint, allowing the aggregation to proceed. It should hit an
// interrupt check and terminate immediately.
assert.commandWorked(
    failPointConn.getDB("admin").runCommand({configureFailPoint: failPointName, mode: "off"}));

// Wait for the parallel shell to finish.
assert.eq(awaitShell(), 0);

diff --git a/jstests/noPassthrough/out_max_time_ms.js b/jstests/noPassthrough/out_max_time_ms.js
index 36268ff645..0212c30a7e 100644
--- a/jstests/noPassthrough/out_max_time_ms.js
+++ b/jstests/noPassthrough/out_max_time_ms.js
@@ -34,7 +34,7 @@ function forceAggregationToHangAndCheckMaxTimeMsExpires(
     // Use a short maxTimeMS so that the test completes in a reasonable amount of time. We will
     // use the 'maxTimeNeverTimeOut' failpoint to ensure that the operation does not prematurely
     // time out.
-    const maxTimeMS = 1000 * 2;
+    const maxTimeMS = 1000 * 4;
 
     // Enable a failPoint so that the write will hang.
     const failpointCommand = {
@@ -66,6 +66,8 @@ function forceAggregationToHangAndCheckMaxTimeMsExpires(
     shellStr += `(${runAggregate.toString()})();`;
     const awaitShell = startParallelShell(shellStr, conn.port);
 
+    sleep(1000);
+
     waitForCurOpByFailPointNoNS(failPointConn.getDB("admin"), failPointName);
 
     assert.commandWorked(maxTimeMsConn.getDB("admin").runCommand(
@@ -73,7 +75,7 @@ function forceAggregationToHangAndCheckMaxTimeMsExpires(
 
     // The aggregation running in the parallel shell will hang on the failpoint, burning
     // its time. Wait until the maxTimeMS has definitely expired.
-    sleep(maxTimeMS + 2000);
+    sleep(maxTimeMS + 4000);
 
     // Now drop the failpoint, allowing the aggregation to proceed. It should hit an
     // interrupt check and terminate immediately.