The 31-year-old, who split from her fiance Jason Trawick in January, recently started dating Lucado and has been spotted with him in public on various occasions, reported Digital Spy.
It is rumoured that Spears called off the engagement with Trawick because the couple disagreed over having children.
Spears is said to be on the verge of signing a deal for a residency at Las Vegas's Planet Hollywood resort and is planning to have the baby shortly after that.
"Britney has been talking about her hopes to have a baby when her Vegas residency ends. They want David to be the stay-at-home dad while she's performing, and says he can't wait to be hands-on.
The 'Toxic' hitmaker raises two sons Sean Federline and Jayden James Federline.