According to Look magazine, the Skyfall singer was invited to the couple's big day after seeing each other at The Oscars last month, with Jen-An apparently stating she would be "honoured" if the 24-year old could take to the stage.
An insider revealed to the publication: "Adele absolutely adores Jen. Jen mentioned to her that the [wedding] would be around her and Justin's anniversary in May.
"She told Adele she should come along, and that she'd be honoured if she'd sing at the reception. I'm sure Adele was really flattered and said she'd think about it."
The source adds that the Friends star spent a lot of time getting advice of motherhood from Adele during the Academy Awards ceremony, explaining: "Adele is such a proud mum.
"Jen's been quite open in the past about being broody and wanted to hear all the details of how the first four months have been for her friend. Adele admitted that it's exhausting, but she says it's totally worth it."
Despite these reports, The Sun suggested that Jennifer and Justin were planning to marry in Hawaii in the next few weeks.
A source told the tabloid: "Jen is going to great lengths to keep the wedding details a secret so it does not become a huge media circus like her wedding to Brad [Pitt].
"Just a few dozen of their closest family and friends will be there. But news is beginning to leak that the date is just a few weeks away now."
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