Whatho!
You mean the flight school where you did your FI course offering you a job, as part of a package deal?
Well, if they've got a vacancy and can afford to wait for you to complete the course, I can't see why not. Or if they know an instructor is shortly going to be leaving, they might. But I can't see that they would if there was no obvious opening. If they did, I'd be very suspicious.
And here is the profile of the hours building instructor you asked for.
Cure, isn't he!