Looking for full-time positions whilst taking temp job - advice?

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What balancing act? It's what everyone who ever changes job has to do, it's not a delicate balancing act at all.

Everyone has 24 hours in a day, and on average most people work 8, sleep 8 and have 8 left. If you devote one of those hours a day to searching for and writing job applications you should still be able to make at least 2 strong job applications a week with tailored aCV and covering letter and some decent company research.

I was referring to balancing the need to attend a potential interview for a permanent job with working in my current temp job. I obviously don't want to burn any bridges but the reality of working in a temp position means it becomes a somewhat delicate situation.

I'm fine using my two free days at the weekend to apply - it's not like I have much else going on at the moment (*laughs awkwardly*)

That's what leave is for. Or pull a sickie. or have a domestic emergency. Or as it's a temp job, be up front and say you've got an interview when you book leave, so you don't have to go through the 'pull a sickie' charade.