Perhaps there would be some code to change in your current project but for new projects you should absolutely consider using Flurl.
It is a HTTP client library for .NET with a fluent interface that specifically enables testability for code that uses it to make HTTP requests.
There are plenty of code samples on the website but in a nutshell you use it like this in your code.
Add the usings.
using Flurl;
using Flurl.Http;
Send a get request and read the response.
public async Task SendGetRequest()
{
var response = await "https://example.com".GetAsync();
// ...
}
In the unit tests Flurl acts as a mock that can be configured to behave as desired and also to verify the calls that were done.
using (var httpTest = new HttpTest())
{
// Arrange
httpTest.RespondWith("OK", 200);
// Act
await sut.SendGetRequest();
// Assert
httpTest.ShouldHaveCalled("https://example.com")
.WithVerb(HttpMethod.Get);
}