I used the phrase we'll mull it over in an e-mail. My intent was to let the readers know that we (the team) needed to give it due consideration and come up with a considered response to their obviously important question. To my mind we clearly needed to think things over, but for how long? I meant overnight (but didn't say so) but my audience assumed we would take a week. What period of time (if any) does the use of the word mull convey?

I used the phrase "we'll mull it over" in an e-mail. My intent was to let the readers know that we (the team) needed to give it due consideration and come up with a considered response to their obviously important question. To my mind, we clearly needed to think things over, but for how long? I meant overnight (though didn't say so), but my audience assumed we would take a week.

What period of time (if any) does the use of the word mull convey?