Wikipedia says that Murad Bey would accept the British occupations in Alexandria Damietta and Rosetta.
Murad had reportedly offered money to the French forces to leave Egypt and offered to ally himself with the British in exchange for allowing the British to occupy Alexandria, Damietta and Rosetta.1
Britain did have an interest in having a colony in Egypt, which was also one of the goals of the British Egyptian Campaign in 1807. The Wikipedia page also says that Murad Bey would accept the British occupations in Alexandria and Rosetta. It's hard for me to find a map that shows exactly how the British - French and Ottoman territories were organized in that region.
The actual quote from Wikipedia's linked source is:
... and later offered to ally himself with the British, whom he would have allowed to occupy Alexandria, Damietta, and Rosetta. .... He died of the plague before he could conclude this agreement ....