The midfielder has missed Celtic’s last four matches due to a calf injury but was named in the Scotland squad for the international double header with Kazakhstan and San Marino.
Lennon is hopeful that McGregor can feature in Sunday’s trip to Dundee ahead of a trip to the plastic pitch in Kazakhstan.
Explaining the situation McLeish told the Daily Record:
Neil Lennon was positive about it. I spoke to Neil last week and he said Callum would be okay. We have to manage things between the two games and we will have a really good look at the players. A big assessment on them in the week building up to the game.
Up until his injury in Spain McGregor had played more matches than any player in top flight European football with his season kicking off in mid-July away to Alashkert of Armenia.
With Ryan Christie and Tom Rogic also out injured the return of a fully fit McGregor will give Celtic a timely boost at a vital stage of the season.
Scotland’s matches are on March 21 and 24 giving Lennon almost a full week to prepare his players for the Glasgow derby on March 31.