diff --git a/sdk/typescript/tests/utils_http_agents.test.ts b/sdk/typescript/tests/utils_http_agents.test.ts
index a7cd8e126..bd73ff0a1 100644
--- a/sdk/typescript/tests/utils_http_agents.test.ts
+++ b/sdk/typescript/tests/utils_http_agents.test.ts
@@ -1,3 +1,5 @@
+import http from 'node:http';
+import https from 'node:https';
 import { describe, it, expect } from 'vitest';
 
 import { httpAgent, httpsAgent } from '../src/utils/httpAgents.js';
@@ -16,4 +18,12 @@ describe('http agents', () => {
     expect(httpsAgent.maxTotalSockets).toBe(50);
     expect(httpsAgent.maxFreeSockets).toBe(5);
   });
+
+  it('httpAgent is an instance of http.Agent', () => {
+    expect(httpAgent).toBeInstanceOf(http.Agent);
+  });
+
+  it('httpsAgent is an instance of https.Agent', () => {
+    expect(httpsAgent).toBeInstanceOf(https.Agent);
+  });
 });
diff --git a/sdk/typescript/tests/utils_pattern.test.ts b/sdk/typescript/tests/utils_pattern.test.ts
index 4a1b013fb..eb90c0eba 100644
--- a/sdk/typescript/tests/utils_pattern.test.ts
+++ b/sdk/typescript/tests/utils_pattern.test.ts
@@ -27,4 +27,32 @@ describe('matchesPattern', () => {
     expect(matchesPattern('a.b+c', 'a.b+c')).toBe(true);
     expect(matchesPattern('a.b+c', 'axb+c')).toBe(false);
   });
+
+  it('handles empty pattern', () => {
+    expect(matchesPattern('', '')).toBe(true);
+    expect(matchesPattern('', 'a')).toBe(false);
+  });
+
+  it('handles empty value', () => {
+    expect(matchesPattern('*', '')).toBe(true);
+    expect(matchesPattern('test', '')).toBe(false);
+  });
+
+  it('handles multiple wildcards', () => {
+    expect(matchesPattern('a*b*c', 'axbyc')).toBe(true);
+    expect(matchesPattern('a*b*c', 'abc')).toBe(true);
+    expect(matchesPattern('a*b*c', 'axbyz')).toBe(false);
+  });
+
+  it('handles dots and plus signs in patterns', () => {
+    expect(matchesPattern('file.txt', 'file.txt')).toBe(true);
+    expect(matchesPattern('file.txt', 'fileXtxt')).toBe(false);
+    expect(matchesPattern('v1.0.0', 'v1.0.0')).toBe(true);
+  });
+
+  it('handles wildcard prefix with suffix', () => {
+    expect(matchesPattern('*.example.com', 'api.example.com')).toBe(true);
+    expect(matchesPattern('*.example.com', 'example.com')).toBe(false);
+    expect(matchesPattern('*.example.com', 'api.test.example.com')).toBe(true);
+  });
 });
diff --git a/sdk/typescript/tests/utils_schema.test.ts b/sdk/typescript/tests/utils_schema.test.ts
index cbaf20e8d..395b847da 100644
--- a/sdk/typescript/tests/utils_schema.test.ts
+++ b/sdk/typescript/tests/utils_schema.test.ts
@@ -34,4 +34,60 @@ describe('toJsonSchema', () => {
   it('returns an empty object for undefined input', () => {
     expect(toJsonSchema(undefined)).toEqual({});
   });
+
+  it('converts zod objects with nested fields', () => {
+    const schema = z.object({
+      name: z.string(),
+      age: z.number().optional(),
+      tags: z.array(z.string()),
+    });
+    const result = toJsonSchema(schema);
+    expect(result).toMatchObject({
+      type: 'object',
+      properties: {
+        name: { type: 'string' },
+        age: { type: 'number' },
+        tags: {
+          type: 'array',
+          items: { type: 'string' },
+        },
+      },
+    });
+    expect(result).not.toHaveProperty('$schema');
+  });
+
+  it('converts zod enums', () => {
+    const schema = z.enum(['a', 'b', 'c']);
+    const result = toJsonSchema(schema);
+    expect(result).toMatchObject({
+      type: 'string',
+      enum: ['a', 'b', 'c'],
+    });
+  });
+
+  it('handles non-object non-zod values', () => {
+    expect(toJsonSchema(42)).toEqual({});
+    expect(toJsonSchema('string')).toEqual({});
+    expect(toJsonSchema(true)).toEqual({});
+  });
+
+  it('preserves $schema on plain objects', () => {
+    const schema = { type: 'string', $schema: 'http://json-schema.org/draft-07/schema#' };
+    expect(toJsonSchema(schema)).toEqual(schema);
+  });
+
+  it('converts zod objects with default values', () => {
+    const schema = z.object({
+      name: z.string().default('hello'),
+      count: z.number().default(0),
+    });
+    const result = toJsonSchema(schema);
+    expect(result).toMatchObject({
+      type: 'object',
+      properties: {
+        name: { type: 'string', default: 'hello' },
+        count: { type: 'number', default: 0 },
+      },
+    });
+  });
 });