Josh, who has been dating the 'London Bridge' singer for three years, was celebrating the 100th episode of his hit US TV show 'Las Vegas' when Mayor Oscar Goodman presented him with a pair of baby's shoes.
A source told the New York Daily News newspaper: "Mayor Goodman gave Josh a pair of baby Crocs sandals for his future baby with fiancée Fergie. Everyone is saying she is pregnant."
During the event, held at Las Vegas' Palms Casino Resort Hotel, Mayor Goodman also handed the key of the city to the cast.
Fergie has previously spoken of her desire to settle down and start a family.
She said: "It is one of my dreams to have babies with Josh. It will be so special when it happens."
The couple announced their engagement last month, and Fergie showed off her impressive diamond ring when she performed in Atlantic City just days later.
She said: "I feel like the luckiest girl in the world. I'm thrilled! I'm not giving any details. I think the fine points are sacred. It's just important to us. It's hard for me to stay quiet though because I have a big mouth!"
The 32-year-old singer recently revealed she is planning to spend more time with her family.
She added: "It's important for me to see more of my family, see more of my sister, my mom and dad."
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