Tesche went on loan to Birmingham last season, and he impressed on a temporary period at St. Andrews.
The German midfielder’s contract at Forest is due to expire in the summer, and Rowett admits that Birmingham could make an offer - if the Reds do let him leave.
“He is a free agent and one we obviously tried to sign previously,” Rowett said, after reports emerged suggesting that he had been to the City Ground to get a closer look at Tesche recently.
“I speak to Robert’s agent quite a lot anyway because he has helped us with a few players in Germany and when we have gone over to look at players, so I will always give him a ring.
Like any other team if Forest don’t re-sign him or if he chooses to see what happens elsewhere, then of course we would potentially be interested.
“I went to watch Forest on Saturday with half an eye on one or two things. Certainly to run the rule over Robert once again.
“We will see, he is Forest’s player still and it’s up to them what they want to do. But of course that type of quality player - and that stature of player, is what I believe we need for next season.”
According to a report in the Birmingham Mail earlier today, Birmingham have not made a formal approach to Forest for Tesche, despite their interest.
Forest may well choose to offer Tesche a new deal, as he has played a rotational role at the City Ground this term.
The 28-year-old has made 24 appearances across all competitions, and he has scored once.
During Tesche’s time with Birmingham last season he made 12 Championship starts, hitting the back of the net on two occasions.