Reusing connections with reqwest

I need to issue a long sequence of REST calls to the same server (let's call it myapi.com). At the moment, I am using the Rust library reqwest as follows:

• I create a reqwest::Client with all default settings.
• For each REST call:
  • I use client.post("https://myapi.com/path/to/the/api") to create a reqwest::RequestBuilder.
  • I configure the RequestBuilder to obtain a reqwest::Request.
  • I send() the Request, read the reqwest::Response.
  • I drop everything except the Client, start again.

I read in the docs that reqwest is supposed to pool connections within the same Client. Given that I always reuse the same Client, I would expect the first API call to take some more (owing to the initial TCP and HTTPS handshakes). However, I observe always a consistent, quite high latency across all requests. So, I am wondering if connections are reused at all, or re-established every time. If they are not, how do I get to recycle the same connection? I feel that latency would be drastically reduced if I could save myself some roundtrips.