The couple have been looking at houses in West London and are considering leaving LA by the end of the year when David's deal with LA Galaxy finishes, the Daily Mail reports.
The move was apparently prompted by their summer in the UK, during which David helped to launch the London 2012 Olympics. The pair also want to have another child, the report claims.
"Victoria is being very quiet about things. But she had never made it a secret that she didn't see why she would stop after baby number four," a source said.
"She loves having a big family and David has always said he would be thrilled if they had another child.
"David and Victoria love America, they love what it has given them, but the boys loved being back in England and now could be the time to make a return.
"They have been looking at houses over the past few months and the future is exciting as anything could happen. The thing they are most concerned about is giving the children stability.
"What is nice about being back in the UK is that they would be close to both their families again. It's early days, but these are plans that are being mooted.
"Victoria and David would love the children to spend their formative years in school back in Europe."
The Beckhams moved to Los Angeles in 2007, where they currently live with sons Brooklyn, 13, Romeo, 10, and Cruz, 7. Their daughter Harper, now 15 months, was born in LA.
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