Bishop is expected to face his former club for the second time when the Senators visit the Lightning on Thursday night.
Bishop has performed well in his first full season as a No. 1 goaltender but hasn't received too much support lately. He's allowed four goals in the 128 shots he's faced over his last four games but has a 1-2-1 record.
Tampa Bay (16-10-1) endured its second straight shutout Tuesday, 1-0 in Columbus. The Lightning had a seven-game home win streak snapped with a 3-0 defeat to Pittsburgh on Friday.
"You won't win in this league unless you get some goals," coach Jon Cooper said. "Our commitment to go to those areas where we need to score is not there. It's unfortunate. It's just not happening now. We're learning by watching teams pass us in the standings."
The Lightning have never been shut out in three straight games and now they'll likely have to face Anderson, who has a pair of shutouts in his last six starts versus Tampa Bay.
Anderson made 30 saves against his former team in Tuesday's 4-2 win over Florida, just the third victory in nine games for Ottawa (11-13-4). Colin Greening had the tiebreaking score in the second period, and Bobby Ryan sealed the game with his fourth goal in six games.
"We've won one in a row numerous times this year. The challenge for us is to do it again (Thursday) night," coach Paul MacLean said.
Ottawa will likely be facing a goalie who appeared in 23 games for the Senators the past two seasons. Ottawa traded Bishop to Tampa Bay on April 3 for forward Cory Conacher and a fourth-round draft pick.
"When we had him, he did an outstanding job for us," MacLean said. "We felt he had the ability to be (a starting goaltender). Whether he would develop into one depended on opportunity. We didn't have the opportunity for him, but he got the opportunity (in Tampa Bay)."
Bishop got his first chance to face the Senators on April 9 and made 31 saves in a 3-2 home victory. Anderson is 5-1-0 with a 1.16 goals-against average in his last six games against Tampa Bay but had a win streak snapped when he was outdueled by his former teammate.
The Lightning, who are 10-3-0 at home, earned two wins - both at the Tampa Bay Times Forum - in their three meetings with Ottawa last season after getting swept in four matchups in 2011-12. However, two of Tampa Bay's top goal scorers from last season's series, Steven Stamkos and Ryan Malone, are out with injuries.