Celtic are still working on deals for Steven Fletcher and Albian Ajeti but Vakoun Issouf Bayo is close to a loan exit.
Former Hibernian forward Fletcher, 33, is a free agent, while 23-year-old Ajeti is on the books at West Ham.
Parkhead manager Neil Lennon said talks are ongoing regarding both targets but said nothing has been tied up.
However, Bayo, who has struggled to make an impact at Celtic since joining in January of last year, should clinch a loan move to French club Toulouse.
Ahead of the Premiership trip to Kilmarnock on Sunday, Lennon was asked about interest in Fletcher.
He said: “Talks are ongoing at the minute. Nothing confirmed. We will just have to wait and see.”
On the prospect of Ajeti making the move to the champions, he said: “Ongoing talks as well.
“I am not aware of how close we are in doing that, I know talks are ongoing.
“That’s my position at the minute, it may or may not happen, as is the case with a lot of deals we are trying to negotiate.
“I am pretty sure Bayo is going to join Toulouse on loan.”
Although the transfer window is open until October, Lennon would like to get more players in before the Champions League qualifiers begin.
He said: “It would be good to get a couple more bodies and obviously you can name them in the UEFA line-up as well.”
Striker Leigh Griffiths is unavailable for the match at Rugby Park due to a calf strain, while winger Mikey Johnston is still waiting on surgery to resolve a calf complaint.