diff --git a/tests/unit/maxmemory.tcl b/tests/unit/maxmemory.tcl
index 741281cfc..414733d1e 100644
--- a/tests/unit/maxmemory.tcl
+++ b/tests/unit/maxmemory.tcl
@@ -246,7 +246,7 @@ test_slave_buffers {slave buffer are counted correctly} 1000000 10 0 1
 # test again with fewer (and bigger) commands without pipeline, but with eviction
 test_slave_buffers "replica buffer don't induce eviction" 100000 100 1 0
 
-start_server {tags {"maxmemory"}} {
+start_server {tags {"maxmemory"} overrides {server-threads 1}} {
     test {client tracking don't cause eviction feedback loop} {
         r config set maxmemory 0
         r config set maxmemory-policy allkeys-lru
@@ -308,4 +308,4 @@ start_server {tags {"maxmemory"}} {
         if {$::verbose} { puts "evicted: $evicted" }
     }
 }
-}; #run_solo
\ No newline at end of file
+}; #run_solo
diff --git a/tests/unit/obuf-limits.tcl b/tests/unit/obuf-limits.tcl
index 456d3ac82..1fbd29ff8 100644
--- a/tests/unit/obuf-limits.tcl
+++ b/tests/unit/obuf-limits.tcl
@@ -1,4 +1,4 @@
-start_server {tags {"obuf-limits"}} {
+start_server {tags {"obuf-limits"} overrides { server-threads 1 }} {
     test {Client output buffer hard limit is enforced} {
         r config set client-output-buffer-limit {pubsub 100000 0 0}
         set rd1 [redis_deferring_client]