Hooper is currently on loan until Wednesday until January, but Carvalhal has suggested that the switch could become a more long-term one.
The Portuguese boss says that he only signs players that he feels have a future at Hillsborough, but it will be up to Hooper to impress on his loan switch.
“Gary has time to see if he likes Sheffield Wednesday,” he said. “We will see how he adapts. We both have time to make a decision.
“When we bring a player on a loan, it is because we like him.”
So far Hooper has had to be patient since moving to the Yorkshire side, but he was handed his first start in their most recent fixture.
The former Celtic front-man started up-front against Charlton Athletic, but he wasn’t able to make much of an impact.
Hooper looked off the pace throughout the contest, as Wednesday slipped to a defeat for the first time in 12 matches.
Hooper will hope that he can show his top form has he becomes more familiar with his new surroundings though, with the Owls looking to break into the Championship play-off places.