The 24-year old, who is currently on national team duty with Japan at the Asian Cup, has been heavily linked with a move away from Moscow in recent months with big European clubs such as Arsenal, Liverpool and AC Milan showing considerable interest.
His agent, Kees Ploegsma, is sending a representative to Qatar to hold talks with Honda in the hope that a deal can be done some time in the winter transfer market.
"Several clubs have confirmed their interest," Pleogsma told Sport.co.uk.
"My son is going to Qatar tomorrow to have a number of meetings. But, we will have to wait and see who is seriously interested in Keisuke (Honda). You never know.
"Time is going fast in the window. I really hope something can happen, but I don't know. As I said my son has a number of meetings, but so far nothing is concrete, we must wait and see."