In the 16 weeks ended December 29 like-for-like sales rose 3.8%, driven by good growth in its Premier, Budgens and Londis convenience stores.
Excluding tobacco, like-for-like sales actually grew 6.2%, reflecting the drag of cigarettes and the like on the business.
Last month, Booker started supplying to Shell and MRH-owned petrol stations, although that is unlikely to have had a major effect on sales given that it came late in the period.
Assuming investors vote in favour, the FTSE 100 supermarket expects to complete the acquisition in early March.
READ: Booker says Tesco takeover competition review is progressing as it reports quarterly sales growth
“Booker Group had another good quarter with like-for-like non tobacco sales up 6.2%,” said chief executive Charles Wilson.
“We continue to Focus, Drive and Broaden our business to improve choice, prices and service for our customers. The proposed merger with Tesco is progressing as planned.”
Shares fell 2.7% to 226.7p early on Thursday.