Tierney has made one start and four substitute appearances since returning to the first-team squad following injury last month and Rodgers said: “He’s still, at this moment, an Arsenal player.
“I think we’re agreed that it will definitely take place in the summer. If we can do it beforehand, then great.
“I don’t want to speak too much on it with the greatest respect, because he’s not a Celtic player here now with us. But, if we were able to do it, of course, we would like to do that, but that’s out of our control at this moment in time.”
Valle has made 19 appearances for Celtic but been mainly an understudy to Greg Taylor.
“Alex won’t play again,” Rodgers said. “Sadly, he’s in Barcelona at the moment and he will probably then move on to another team.
“We’re disappointed that he’s left, but we have to move on.”
Portuguese winger Jota returned to Celtic from Rennes as Kyogo headed in the opposite direction to the French club and Rodgers admitted he is disappointed to have lost someone who has been “a real iconic player for the club”.
“He’s done brilliantly during his time,” he said of the 30-year-old. “It’s about getting a replacement.
“We have known for a number of months. Clearly, we wouldn’t have wanted to sell him, but he made it clear he wanted to move and, when that’s the case, we have to find the best solution for the club.”
It means Rodgers’ side will face Aston Villa on Wednesday in their final Champions League game before the play-offs without Kyogo and fellow Japan forward Daizen Maeda, who is suspended.
“Of course missing those two make difference, but other players can come in and have an opportunity to impress,” Rodgers said.
Cameron Carter-Vickers will also miss out along with Scotland winger James Forrest through injury.
Rodgers revealed that the centre-half picked up a niggle in Celtic’s latest game and he felt there is no need to risk him given the Scottish champions are already through to the play-offs regardless of the result in Birmingham.