I am applying to a university teaching position, and I would like one of my committee members to write a letter of recommendation for me. During my initial interview with the head of the department at this university, I was told that the application may be taken down swiftly depending on several factors. Hence, I'm in a bit of a time crunch.
I have an excellent relationship with the professor I am hoping to get a letter of recommendation from. But they have not responded to my email, and I'm concerned that the delay may make me miss this opportunity.
Since I have a good relationship with this professor, is it safe to assume they will be willing to write me a letter of recommendation, or should I contact the department I am applying to and let them know of my predicament? I have no concern that this professor would write a negative review, but I'm hesitant to assume they'd be willing or available to do it.