Popov, 28, is currently on a season-long loan from Russian side Dynamo Kiev but West Brom have the option to make the deal permanent this summer.
"It's an ongoing situation. I said earlier in the week that the last six games won't change the situation for any player at the club," Clarke told the Birmingham Mail.
"I am comfortable in my own mind where I'm going but we won't make that decision until the end of the season and nobody will know until then.
"We will sit down and have that final conversation around the end of the season."
West Brom are currently eighth in the Premier League.