The English striker's deal with the Students expires in four months, meaning he is free to negotiate a pre-contract with any team.
Keene has been linked with a move to SuperSport United, who recently recruited Evans Rusike after selling fellow hitman Jeremy Brockie to Tshwane rivals Mamelodi Sundowns.
Keene, however, insists he is happy at Sturrock Park as the Absa Premiership champions start to generate momentum under coach Gavin Hunt in the final third of a challenging campaign.
“I’m a Wits player. I’m very happy and things are going well, so we’ll see what happens after the end of the season,” Keene tells KickOff.com.
“But at this point in time I’m very happy and we are doing well right now.
“In terms of the club making any intention to keep me, nothing yet. But I’ve got to keep playing well and you can see since the start of the year we’ve been unbeaten in the league and things are going well for us.
“I’m just going to keep on going and see what happens in the future. Right now it’s about doing well for Bidvest Wits and keeping them up in the league,” says Keene, who joined Wits midway through 2015/16 having previously been on trial at Kaizer Chiefs.
While Keene's commitment has not come under scrutiny with his future up in the air at the club, he is suspended for the next two matches after he was sent off in the 2-1 league win over Golden Arrows on Saturday.
The 32-year-old was given his marching orders late on by referee Victor Gomes following an altercation with former teammate Jabulani Shongwe, who was also dismissed. Keene stepped in after Shongwe started dragging Gabadinho Mhango off the pitch as he believed the Malawian was faking an injury to run down the clock.
Keene downplayed the tussle with Shongwe, who has shown remorse for the incident.
“Nothing at all. Jabu did nothing and I did nothing... it was a push, a shove and that’s it,” Keene said.
“Of course we’ve got to protect our player and teammates, and you are not allowed to drag the player. So I didn’t do anything and Jabu didn’t do anything too.
“It was not a red card and it couldn’t even be a yellow.”
Keene has scored seven goals in 20 appearances this season.