The Bulgaria international has regularly been linked with a move to Celtic, and is also reportedly a target of Italian duo Fiorentina and Lazio.
However, the 23-year-old is prepared to reject the opportunity to head to Serie A in favour of playing regular UEFA Champions League football at Parkhead.
"It's an honour to know Celtic are interested in me," Tonev told the Daily Record.
"They have a big history and their performance in Europe this year has shown they are ready to create new history.
"Last summer there were Italian teams interested and even though Serie A is one of the top leagues it's important for me I consistently play Champions League football. Celtic is somewhere I could achieve that.
"I just concentrate on playing. Hopefully a move can be organised this summer."
Tonev still has two seasons to run on his contract but reports suggest Lech would accept an offer in the region of £2m.