Alex Neil was sacked seven days ago after a run of six games without a win and assistant Irvine was placed in charge of the first team until further notice.
The former West Bromwich Albion boss oversaw the 2-2 draw against Blackburn Rovers and will be hoping to build on that performance when Barnsley visit Carrow Road.
Norwich, who occupy ninth place in the Championship, are still in with a chance of getting into the play-offs but failure to pick up three points on home soil could end their hopes.
Irvine, who has already stated he does not want the position full-time, believes the club will have found Neil's successor before the trip to Aston Villa on April 1.
"After the game tomorrow, I'm expecting to drop back into my role," he was quoted as saying by itv.com. "I would expect that I'll hear something next week at some point because obviously a decision has to be made about who's going to take training.
"At this moment, I don't know who that's going to be. If it's me, that's fabulous."