Skinner notched an assist and two shots on goal in Saturday's 5-2 loss to the Blackhawks.
Skinner signed a one-year, $3 million contract with the Oilers on Monday, per Pierre LeBrun of The Athletic.
The Sabres are buying out the remainder of Skinner's contract, GM Kevyn Adams told Matthew Fairburn of The Athletic on Saturday.
Skinner had a goal and two assists in a 7-2 win over the Golden Knights on Saturday.
Skinner (undisclosed) will be available to play Tuesday against Florida, Matthew Fairburn of The Athletic reports.
Skinner is set for an MRI before the club leaves for its two-game road trip, Heather Engel of NHL.com reports Monday.
Skinner scored a goal on a team-high five shots in Sunday's 3-2 shootout win over the Hurricanes.
Skinner (upper body) was activated from injured reserve Tuesday, per the NHL media site.
Skinner (upper body) won't play Saturday against Tampa Bay, per Lance Lysowski of The Buffalo News.
Skinner (upper body) is expected to be a game-time decision Saturday against Tampa Bay, Lance Lysowski of The Buffalo News reports.