diff --git a/lib/net.js b/lib/net.js
index 66fc3578ca57fa..fcc24b22fb642c 100644
--- a/lib/net.js
+++ b/lib/net.js
@@ -1094,6 +1094,16 @@ Socket.prototype.connect = function(...args) {
   return this;
 };
 
+function socketToDnsFamily(family) {
+  switch (family) {
+    case 'IPv4':
+      return 4;
+    case 'IPv6':
+      return 6;
+  }
+
+  return family;
+}
 
 function lookupAndConnect(self, options) {
   const { localAddress, localPort } = options;
@@ -1136,7 +1146,7 @@ function lookupAndConnect(self, options) {
 
   if (dns === undefined) dns = require('dns');
   const dnsopts = {
-    family: options.family,
+    family: socketToDnsFamily(options.family),
     hints: options.hints || 0
   };
 
diff --git a/test/parallel/parallel.status b/test/parallel/parallel.status
index 911787a091b5e3..bafd4e16aaf004 100644
--- a/test/parallel/parallel.status
+++ b/test/parallel/parallel.status
@@ -37,10 +37,6 @@ test-crypto-dh-stateless: SKIP
 test-crypto-keygen: SKIP
 
 [$system==solaris] # Also applies to SmartOS
-# https://github.com/nodejs/node/pull/43054
-test-net-socket-connect-without-cb: SKIP
-test-net-socket-ready-without-cb: SKIP
-test-tcp-wrap-listen: SKIP
 # https://github.com/nodejs/node/issues/43446
 test-net-connect-reset-until-connected: PASS, FLAKY
 # https://github.com/nodejs/node/issues/43457
@@ -65,12 +61,6 @@ test-worker-message-port-message-before-close: PASS,FLAKY
 # https://github.com/nodejs/node/issues/43446
 test-net-connect-reset-until-connected: PASS, FLAKY
 
-[$system==aix]
-# https://github.com/nodejs/node/pull/43054
-test-net-socket-connect-without-cb: SKIP
-test-net-socket-ready-without-cb: SKIP
-test-tcp-wrap-listen: SKIP
-
 [$system==ibmi]
 # https://github.com/nodejs/node/pull/30819
 test-child-process-fork-net-server: SKIP