The phrase "wait a bit" is commonly used to politely ask someone to be patient and hold on for a little while. However, there are several synonymous phrases that can be used to convey the same message with a bit of variation. For instance, one can say "hold on a moment", "just a second", "stay put for a while", "be patient for a bit", or "please wait briefly". Similarly, "give me a minute", "can I have a moment", and "let me check" can be used to ask for some time to complete a task. Overall, there are numerous ways to express the idea of taking a short break or pausing momentarily.