The Dolphins signed Thompson to the practice squad Tuesday.
The Dolphins waived Thompson on Saturday, David Furones of the South Florida Sun Sentinel reports.
Thompson will not handle backup quarterback duties against the Jets on Sunday, Alain Poupart of SI.com reports.
Thompson (ribs) is not listed on Wednesday's injury report, Travis Wingfield of the Dolphins' official site reports.
Thompson (ribs) is listed as the Dolphins' inactive emergency third quarterback for Sunday's game against the Colts.
Thompson (ribs) practiced without limitations all week but is listed as questionable for Sunday's game against the Colts, Chris Perkins of the South Florida Sun Sentinel reports.
Thompson (ribs) was a full participant in Wednesday's practice.
Thompson (ribs) is inactive for Sunday's game at New England.
Thompson (ribs) is listed as questionable for Sunday's game against the Patriots, Travis Wingfield of the Dolphins' official site reports.
Thompson (ribs) was limited at practice Wednesday, David Furones of the South Florida Sun Sentinel reports.