As others have pointed out, there's something not quite right with that watch. The reference 6442 does indeed date to the early 1950s, as does your movement. These were from Tissot's "extra-flat" collection and were typically 35mm chrome or gold-fill cases and usually contained a manual-wind caliber 27B-2. So I think your case and movement belong together.
However, the dial logo and marker style on your watch dates to the early 1960s, after Tissot changed from its "signature" style logo (used from the 1930s to 1959) to the sans-serif -T- logo in 1960. I suspect a dial swap.
Your dial should look more like this:
View attachment 1379167
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