Fischer scored his first goal of the season on his only shot in Thursday's 5-3 win over the Devils.
Coach Derek Lalonde said that Fischer (upper body) will be back in the lineup Thursday versus the Rangers.
Fischer (upper body) won't play Monday against the Rangers.
Fischer signed a one-year, $1.125 million contract with the Red Wings on Monday.
Fischer completed his debut campaign with the Red Wings, adding five goals, 14 assists and 138 hits through 79 games. He was neutral in the plus-minus category.
Fischer supplied a goal and two assists in Thursday's 6-3 win over the Islanders.
Fischer went five-hole on his lone tally in Saturday's 4-1 win over the Sabres.
Fischer tacked on an assist in Monday's 4-3 overtime win over the Kraken.
Fischer supplied an assist Saturday as the Red Wings edged the Kings, 5-3.
Fischer (upper body) will be activated from injured reserve ahead of his return to the lineup Sunday against Boston.