The Trotters midfielder is recovering from injury and should be ready for action in the coming days, according to his club boss, Dougie Freedman
The Boys in Green will face Sweden and Austria on March 22 and 26 respectively and the return of Andrews gives the Italian tactician extra options in midfield.
"Keith should be back in a week's time, which is good news for us," said Bolton boss Dougie Freedman. "He is back running now and it will be good to have him back. He put everything in for us and we couldn't ask any more from him.
"We had so many injuries and were struggling for bodies that Keith played on with the injury," said the Trotters manager.
Meanwhile, Trapattoni may also have found another option at centre back as Stoke City defender Marc Wilson looks set to stand in for Robert Huth, who will serve a three-match suspension for violent conduct.
Wilson has featured mainly at left back at international level and although a midfielder by trade, he has played mostly at left back for the Potters this season. The 25-year-old has stressed that he will 'play anywhere' for his team.
"I'll play anywhere for the team and do a job," said Wilson. "There was a time at Portsmouth when all the centre-halves were out and I played about 20 games there."