The reality TV star first started dating Manchester United midfielder Cleverley in May, and the couple are said to be excited by news of their forthcoming new arrival.
"Tom and Georgina are totally made up," a friend of the couple's told The Sun.
"They fell head over heels in love and can't wait to start a family.
"Tom's been getting pats on the back from Wayne Rooney and his pals in the Man Utd dressing room."
A Manchester United insider added: "They're delighted. It's a happy time for Tom."
Cleverley and Dorsett's six-month romance has reportedly included a holiday in Dubai, while she has moved from Essex to his Cheshire home.
Dorsett departed from The Only Way Is Essex earlier this year. It was reported that she faced the axe after being deemed too "boring".