Tomlinson, 24, and Jungworth gave birth to their first child January 22, reported Female First.
The singer paid a visit to the upmarket Petit Tresor boutique in West Hollywood before the tot was born and splashed out on a number of items for the youngster.
It seems the pair knew they were expecting a boy as an insider said they purchased "adorable blue baby layette items" during their shopping spree in November.
Among the purchases were a Bancroft closed crib priced at USD 2,995, an USD 89 penguin cuddly toy and a diaper bag for USD 790.
"They picked out lots of items with lions on. They bought lion toys, a lion blanket, a lion onesie and a very cute lion hooded towel. It might be because the lion symbol is associated with Great Britain and the English soccer team. Perhaps they're making sure their baby knows about his British roots," a source said.