Winger Lennon missed his club's 1-0 home defeat by Fulham in the Premier League on Sunday with a damaged groin and a hamstring injury, while centre-back Dawson was taken off at half-time with a hamstring problem.
"Manchester City defender Joleon Lescott has been added to the squad, who meet at St. George's Park on Monday," the FA said in a statement on its website.
Roy Hodgson's team are second in qualifying Group H with six matches to play and face struggling San Marino on March 22 before taking on pace-setters Montenegro on March 26.
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