diff --git a/CHANGELOG.md b/CHANGELOG.md
index 29f9913..05ff816 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,6 +1,9 @@
 CHANGELOG
 =========
 
+## 0.0.7 - 2023-12-06
+Update to Terraform Provider [0.3.4](https://github.com/MaterializeInc/terraform-provider-materialize/releases/tag/v0.3.4).
+
 ## 0.0.6 - 2023-11-30
 Update to Terraform Provider [0.3.3](https://github.com/MaterializeInc/terraform-provider-materialize/releases/tag/v0.3.3).
 
diff --git a/provider/cmd/pulumi-resource-materialize/schema.json b/provider/cmd/pulumi-resource-materialize/schema.json
index f4a179f..b691e01 100644
--- a/provider/cmd/pulumi-resource-materialize/schema.json
+++ b/provider/cmd/pulumi-resource-materialize/schema.json
@@ -281,6 +281,11 @@
                     "description": "The AWS PrivateLink connection name in Materialize.\n",
                     "willReplaceOnChanges": true
                 },
+                "sshTunnel": {
+                    "$ref": "#/types/materialize:index/ConnectionKafkaKafkaBrokerSshTunnel:ConnectionKafkaKafkaBrokerSshTunnel",
+                    "description": "The name of an SSH tunnel connection to route network traffic through by default.\n",
+                    "willReplaceOnChanges": true
+                },
                 "targetGroupPort": {
                     "type": "integer",
                     "description": "The port of the target group associated with the Kafka broker.\n"
@@ -311,6 +316,26 @@
                 "name"
             ]
         },
+        "materialize:index/ConnectionKafkaKafkaBrokerSshTunnel:ConnectionKafkaKafkaBrokerSshTunnel": {
+            "properties": {
+                "databaseName": {
+                    "type": "string",
+                    "description": "The ssh_tunnel database name. Defaults to `MZ_DATABASE` environment variable if set or `materialize` if environment variable is not set.\n"
+                },
+                "name": {
+                    "type": "string",
+                    "description": "The ssh_tunnel name.\n"
+                },
+                "schemaName": {
+                    "type": "string",
+                    "description": "The ssh_tunnel schema name. Defaults to `public`.\n"
+                }
+            },
+            "type": "object",
+            "required": [
+                "name"
+            ]
+        },
         "materialize:index/ConnectionKafkaSaslPassword:ConnectionKafkaSaslPassword": {
             "properties": {
                 "databaseName": {
@@ -2895,7 +2920,7 @@
                 },
                 "sshTunnel": {
                     "$ref": "#/types/materialize:index/ConnectionKafkaSshTunnel:ConnectionKafkaSshTunnel",
-                    "description": "The SSH tunnel configuration for the Kafka broker.\n"
+                    "description": "The default SSH tunnel configuration for the Kafka brokers.\n"
                 },
                 "sslCertificate": {
                     "$ref": "#/types/materialize:index/ConnectionKafkaSslCertificate:ConnectionKafkaSslCertificate",
@@ -2978,7 +3003,7 @@
                 },
                 "sshTunnel": {
                     "$ref": "#/types/materialize:index/ConnectionKafkaSshTunnel:ConnectionKafkaSshTunnel",
-                    "description": "The SSH tunnel configuration for the Kafka broker.\n",
+                    "description": "The default SSH tunnel configuration for the Kafka brokers.\n",
                     "willReplaceOnChanges": true
                 },
                 "sslCertificate": {
@@ -3068,7 +3093,7 @@
                     },
                     "sshTunnel": {
                         "$ref": "#/types/materialize:index/ConnectionKafkaSshTunnel:ConnectionKafkaSshTunnel",
-                        "description": "The SSH tunnel configuration for the Kafka broker.\n",
+                        "description": "The default SSH tunnel configuration for the Kafka brokers.\n",
                         "willReplaceOnChanges": true
                     },
                     "sslCertificate": {
diff --git a/provider/go.mod b/provider/go.mod
index e98a792..d999528 100644
--- a/provider/go.mod
+++ b/provider/go.mod
@@ -5,7 +5,7 @@ go 1.18
 replace github.com/hashicorp/terraform-plugin-sdk/v2 => github.com/pulumi/terraform-plugin-sdk/v2 v2.0.0-20230912190043-e6d96b3b8f7e
 
 require (
-	github.com/MaterializeInc/terraform-provider-materialize v0.3.3
+	github.com/MaterializeInc/terraform-provider-materialize v0.3.4
 	github.com/pulumi/pulumi-terraform-bridge/v3 v3.59.0
 	github.com/pulumi/pulumi/sdk/v3 v3.81.0
 )
diff --git a/provider/go.sum b/provider/go.sum
index 429fe37..7b21b8a 100644
--- a/provider/go.sum
+++ b/provider/go.sum
@@ -714,8 +714,8 @@ github.com/Masterminds/semver/v3 v3.1.1/go.mod h1:VPu/7SZ7ePZ3QOrcuXROw5FAcLl4a0
 github.com/Masterminds/sprig/v3 v3.2.1/go.mod h1:UoaO7Yp8KlPnJIYWTFkMaqPUYKTfGFPhxNuwnnxkKlk=
 github.com/Masterminds/sprig/v3 v3.2.2 h1:17jRggJu518dr3QaafizSXOjKYp94wKfABxUmyxvxX8=
 github.com/Masterminds/sprig/v3 v3.2.2/go.mod h1:UoaO7Yp8KlPnJIYWTFkMaqPUYKTfGFPhxNuwnnxkKlk=
-github.com/MaterializeInc/terraform-provider-materialize v0.3.3 h1:VTAfLkhaejhnwWtIXUh1umZUMGz8SqkaNQb3/0CNaQ8=
-github.com/MaterializeInc/terraform-provider-materialize v0.3.3/go.mod h1:9KC1ifIdkf3C5UouxRs4S1TFALi+PRoZoSBwPEXKCA0=
+github.com/MaterializeInc/terraform-provider-materialize v0.3.4 h1:v2b6Dm5CbhsPS8MEnw+MvgGAHdb85CNyC9Tk/D51rTM=
+github.com/MaterializeInc/terraform-provider-materialize v0.3.4/go.mod h1:9KC1ifIdkf3C5UouxRs4S1TFALi+PRoZoSBwPEXKCA0=
 github.com/Microsoft/go-winio v0.4.11/go.mod h1:VhR8bwka0BXejwEJY73c50VrPtXAaKcyvVC4A4RozmA=
 github.com/Microsoft/go-winio v0.4.14/go.mod h1:qXqCSQ3Xa7+6tgxaGTIe4Kpcdsi+P8jBhyzoq1bpyYA=
 github.com/Microsoft/go-winio v0.4.15-0.20190919025122-fc70bd9a86b5/go.mod h1:tTuCMEN+UleMWgg9dVx4Hu52b1bJo+59jBh3ajtinzw=