diff --git a/cmd/config/internal/commands/run-fns.go b/cmd/config/internal/commands/run-fns.go
index 175510c8a..816c67591 100644
--- a/cmd/config/internal/commands/run-fns.go
+++ b/cmd/config/internal/commands/run-fns.go
@@ -62,8 +62,6 @@ func GetRunFnRunner(name string) *RunFnRunner {
 
 	r.Command.Flags().BoolVar(
 		&r.Network, "network", false, "enable network access for functions that declare it")
-	r.Command.Flags().StringVar(
-		&r.NetworkName, "network-name", "bridge", "the docker network to run the container in")
 	r.Command.Flags().StringArrayVar(
 		&r.Mounts, "mount", []string{},
 		"a list of storage options read from the filesystem")
@@ -96,7 +94,6 @@ type RunFnRunner struct {
 	RunFns             runfn.RunFns
 	ResultsDir         string
 	Network            bool
-	NetworkName        string
 	Mounts             []string
 	LogSteps           bool
 	Env                []string
@@ -133,8 +130,8 @@ func (r *RunFnRunner) getContainerFunctions(c *cobra.Command, dataItems []string
 		}
 		if r.Network {
 			err = fn.PipeE(
-				yaml.LookupCreate(yaml.MappingNode, "container", "network"),
-				yaml.SetField("required", yaml.NewScalarRNode("true")))
+				yaml.Lookup("container"),
+				yaml.SetField("network", yaml.NewScalarRNode("true")))
 			if err != nil {
 				return nil, err
 			}
@@ -309,7 +306,6 @@ func (r *RunFnRunner) preRunE(c *cobra.Command, args []string) error {
 		Input:          input,
 		Path:           path,
 		Network:        r.Network,
-		NetworkName:    r.NetworkName,
 		EnableStarlark: r.EnableStar,
 		EnableExec:     r.EnableExec,
 		StorageMounts:  storageMounts,
diff --git a/cmd/config/internal/commands/run_test.go b/cmd/config/internal/commands/run_test.go
index 7cd1c957f..d56dbb550 100644
--- a/cmd/config/internal/commands/run_test.go
+++ b/cmd/config/internal/commands/run_test.go
@@ -29,7 +29,6 @@ func TestRunFnCommand_preRunE(t *testing.T) {
 		output         io.Writer
 		functionPaths  []string
 		network        bool
-		networkName    string
 		mount          []string
 	}{
 		{
@@ -95,34 +94,32 @@ apiVersion: v1
 `,
 		},
 		{
-			name:        "network enabled",
-			args:        []string{"run", "dir", "--image", "foo:bar", "--network"},
-			path:        "dir",
-			network:     true,
-			networkName: "bridge",
+			name:    "network enabled",
+			args:    []string{"run", "dir", "--image", "foo:bar", "--network"},
+			path:    "dir",
+			network: true,
 			expected: `
 metadata:
   name: function-input
   annotations:
     config.kubernetes.io/function: |
-      container: {image: 'foo:bar', network: {required: true}}
+      container: {image: 'foo:bar', network: true}
 data: {}
 kind: ConfigMap
 apiVersion: v1
 `,
 		},
 		{
-			name:        "with network name",
-			args:        []string{"run", "dir", "--image", "foo:bar", "--network", "--network-name", "foo"},
-			path:        "dir",
-			network:     true,
-			networkName: "foo",
+			name:    "with network name",
+			args:    []string{"run", "dir", "--image", "foo:bar", "--network"},
+			path:    "dir",
+			network: true,
 			expected: `
 metadata:
   name: function-input
   annotations:
     config.kubernetes.io/function: |
-      container: {image: 'foo:bar', network: {required: true}}
+      container: {image: 'foo:bar', network: true}
 data: {}
 kind: ConfigMap
 apiVersion: v1
@@ -202,7 +199,6 @@ apiVersion: v1
 			path: "dir",
 			expectedStruct: &runfn.RunFns{
 				Path:           "dir",
-				NetworkName:    "bridge",
 				EnableStarlark: true,
 				Env:            []string{},
 			},
@@ -255,10 +251,9 @@ apiVersion: v1
 			args: []string{"run", "dir", "--results-dir", "foo/", "--image", "foo:bar", "--", "a=b", "c=d", "e=f"},
 			path: "dir",
 			expectedStruct: &runfn.RunFns{
-				Path:        "dir",
-				NetworkName: "bridge",
-				ResultsDir:  "foo/",
-				Env:         []string{},
+				Path:       "dir",
+				ResultsDir: "foo/",
+				Env:        []string{},
 			},
 			expected: `
 metadata:
@@ -291,10 +286,9 @@ apiVersion: v1
 			args: []string{"run", "dir", "--log-steps"},
 			path: "dir",
 			expectedStruct: &runfn.RunFns{
-				Path:        "dir",
-				NetworkName: "bridge",
-				LogSteps:    true,
-				Env:         []string{},
+				Path:     "dir",
+				LogSteps: true,
+				Env:      []string{},
 			},
 		},
 		{
@@ -302,9 +296,8 @@ apiVersion: v1
 			args: []string{"run", "dir", "--env", "FOO=BAR", "-e", "BAR"},
 			path: "dir",
 			expectedStruct: &runfn.RunFns{
-				Path:        "dir",
-				NetworkName: "bridge",
-				Env:         []string{"FOO=BAR", "BAR"},
+				Path: "dir",
+				Env:  []string{"FOO=BAR", "BAR"},
 			},
 		},
 	}
@@ -362,9 +355,6 @@ apiVersion: v1
 				if !assert.Equal(t, tt.network, r.RunFns.Network) {
 					t.FailNow()
 				}
-				if !assert.Equal(t, tt.networkName, r.RunFns.NetworkName) {
-					t.FailNow()
-				}
 			} else {
 				if !assert.Equal(t, false, r.RunFns.Network) {
 					t.FailNow()
diff --git a/kyaml/runfn/runfn.go b/kyaml/runfn/runfn.go
index e0a890212..f6c0dc75a 100644
--- a/kyaml/runfn/runfn.go
+++ b/kyaml/runfn/runfn.go
@@ -52,9 +52,6 @@ type RunFns struct {
 	// Network enables network access for functions that declare it
 	Network bool
 
-	// NetworkName is the name of the docker network to use for the container
-	NetworkName string
-
 	// Output can be set to write the result to Output rather than back to the directory
 	Output io.Writer