The 38-year-old star, who has sons Brooklyn,14, Romeo, 11, Cruz, 8, and a two-year-old daughter Harper with Victoria, is overwhelmed with the birth of James, reported Daily Mirror.
"(Victoria) and Lynne have got broody at similar times. Her pregnancy got Vic thinking. She and David haven't ruled out another nipper," a source said.
Lynne's son, her second with partner Kevin Briggs, was born at Queen's Hospital in Romford.