Sweat recorded three tackles in the Bears' 17-9 loss to the Packers on Sunday.
Sweat tallied four tackles and 1.5 sacks in the Bears' 12-10 win over the Vikings on Monday.
Sweat agreed to a four-year, $98 million extension with Chicago on Saturday, Ian Rapoport of NFL Network reports.
The Bears acquired Sweat from the Commanders on Tuesday in exchange for a 2024 second-round draft pick, Adam Schefter of ESPN reports.
Sweat (finger) was a full participant at practice Thursday, Ben Standig of The Athletic reports.
Sweat (finger) was a limited participant at the Commanders' practice Wednesday.
Sweat is believed to have sustained a sprained thumb during Sunday's 24-16 win at Atlanta, Jeremy Fowler of ESPN.com reports.
The X-Rays on Sweat's thumb came back negative Sunday and he is believed to have avoided a major injury, Jeremy Fowler of ESPN reports.
Sweat is questionable to return to Sunday's contest against the Falcons due to a thumb injury.
Sweat recorded four tackles (two solo), including one and a half sacks, in Sunday's 35-33 win over the Broncos.