Mueller wasn't tendered a qualifying offer by the Devils and will become an unrestricted free agent Friday.
Mueller registered an assist in Friday's 4-2 win over the Blues.
Mueller posted an assist and four blocked shots in Tuesday's 5-4 shootout loss to the Canadiens.
Mueller had a minus-1 rating and two blocked shots in Saturday's 5-2 loss to Colorado, extending his point drought to 10 games.
Mueller scored a goal and added a plus-1 rating, one shot on net, one hit and one block during a 3-1 loss to the Avalanche on Friday.
Mueller was a healthy scratch Saturday against the Red Wings.
Mueller recorded a plus-1 rating over 19:52 of ice time in Thursday's 5-2 win over the Rangers.
Mueller signed a one-year, $1.4 million contract with New Jersey on Monday.
Mueller filed for arbitration Friday.
Mueller was qualified by New Jersey on Tuesday.