diff --git a/test/wal_off/oom.result b/test/wal_off/oom.result
index c47d16c46e0ed846372e25ba8e71ced9f9befeb2..90bc53d22b745d482b2197c3bd2afb6140342fb3 100644
--- a/test/wal_off/oom.result
+++ b/test/wal_off/oom.result
@@ -4,7 +4,7 @@ env = require('test_run')
 test_run = env.new()
 ---
 ...
-test_run:cmd('restart server default')
+test_run:cmd('restart server default with cleanup=1')
 test_run:cmd("push filter 'error: Failed to allocate [0-9]+ ' to 'error: Failed to allocate <NUM> '")
 ---
 - true
diff --git a/test/wal_off/oom.test.lua b/test/wal_off/oom.test.lua
index 5c0ab8e73b288480950c311f0796123f3beb0e21..8e6e14046dc3575374a6282fe3c9fba2848c2ceb 100644
--- a/test/wal_off/oom.test.lua
+++ b/test/wal_off/oom.test.lua
@@ -1,6 +1,6 @@
 env = require('test_run')
 test_run = env.new()
-test_run:cmd('restart server default')
+test_run:cmd('restart server default with cleanup=1')
 test_run:cmd("push filter 'error: Failed to allocate [0-9]+ ' to 'error: Failed to allocate <NUM> '")
 
 space = box.schema.space.create('tweedledum')
diff --git a/test/wal_off/suite.ini b/test/wal_off/suite.ini
index ad19eab104abf1ad811ebf7defd155c6b48a9f97..bd3a349db0c2bbb662c8e35bbf3dcacb92449763 100644
--- a/test/wal_off/suite.ini
+++ b/test/wal_off/suite.ini
@@ -2,4 +2,5 @@
 core = tarantool
 script = wal.lua
 description = tarantool/box, wal_mode = none
-is_parallel = False
+use_unix_sockets = True
+is_parallel = True
diff --git a/test/wal_off/tuple.result b/test/wal_off/tuple.result
index fa431e2039650da8a21b97d437efbd6446135ad9..6ea3814fc9660bd8e92977812fb15ba618e65c99 100644
--- a/test/wal_off/tuple.result
+++ b/test/wal_off/tuple.result
@@ -4,7 +4,7 @@ env = require('test_run')
 test_run = env.new()
 ---
 ...
-test_run:cmd("restart server default")
+test_run:cmd('restart server default with cleanup=1')
 -- 
 -- Test various tuple bugs which do not require a write ahead log.
 -- 
diff --git a/test/wal_off/tuple.test.lua b/test/wal_off/tuple.test.lua
index 19415a92d2b1c1ed881d40e4b941ee4b9d554e2c..6962f35ad221e43beabe03a4dfd5a5c926dc68e2 100644
--- a/test/wal_off/tuple.test.lua
+++ b/test/wal_off/tuple.test.lua
@@ -1,6 +1,6 @@
 env = require('test_run')
 test_run = env.new()
-test_run:cmd("restart server default")
+test_run:cmd('restart server default with cleanup=1')
 -- 
 -- Test various tuple bugs which do not require a write ahead log.
 -- 
diff --git a/test/wal_off/wal.lua b/test/wal_off/wal.lua
index 6e4afbe4dfcc2a8a96aa01b50db91ad51c5aed67..4005e78cdc6de038c05fae5b758320b48ac9dadc 100644
--- a/test/wal_off/wal.lua
+++ b/test/wal_off/wal.lua
@@ -2,9 +2,10 @@
 
 box.cfg{
     listen              = os.getenv("LISTEN"),
-    memtx_memory        = 107374182,
+    memtx_memory        = 157374182,
     pid_file            = "tarantool.pid",
-    wal_mode            = "none"
+    wal_mode            = "none",
+    checkpoint_count    = 100
 }
 
 require('console').listen(os.getenv('ADMIN'))