Eric Johnson, Jessica Simpson and daughter Maxwell on Nov. 29
SWAP/Splash News Online
11/30/2012 at 01:00 PM EST
Looking trim and fashionable in high-heeled black boots and form-fitting leggings, Jessica Simpson
was spotted with fiancé Eric Johnson
at the Los Angeles International Airport Thursday with daughter Maxwell
Simpson, 32 and former NFL player Johnson, also 32, returned on a flight from New York as reports continue to swirl that she is expecting her second child
. Baby Maxwell, her first, was born on May 1.
Becoming a parent, Simpson said, was "life-changing."
Her publicist, speaking to PEOPLE on Wednesday, declined to comment about a second pregnancy.
Simpson, a spokesperson for Weight Watchers, recently made headlines with a 60 lb. post-pregnancy weight loss