Edwards joined Ian Holloway's side at the end of March and Millwall are unbeaten in the five games in which the 35-year-old has started.
That run has lifted Millwall to a point outside the Championship relegation zone ahead of Monday's home game with fellow strugglers Doncaster Rovers.
Trinidad & Tobago attacker Edwards is unsure of his long-term future, but he is hoping that Holloway will want him at The Den next season.
"The confidence in the side is very good at the moment," said Edwards, who is out of contract at Ipswich in the summer.
"I don't know if the gaffer has plans for me to stay on, but I'd like to."