The actress, who has been on the cobbles since 2006, is thought to have recently met with show bosses as she prepares to sign a new deal with the programme.
Marsh returned to filming at Coronation Street late last year after taking maternity leave. She and fiancé Jamie Lomas welcomed the arrival of a baby daughter named Polly in March 2011.
Discussing the future, Marsh told The People: "ITV have been brilliant while I was on maternity leave and looking after Polly in the months after giving birth.
"The producers have also told me about other storylines they have planned for Michelle that I am very excited about."
Marsh's current Coronation Street deal expires in the summer, but show producers are reportedly keen to keep her.
Meanwhile, an ITV source told the newspaper that Marsh has "always wanted to stay in Weatherfield" beyond her existing contract.
Last week, tabloid reports suggested that Michelle will come under suspicion when evil Frank Foster is murdered in a few weeks' time.
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