Hi, I assume that by 'this week', you mean the current week at the time of speaking. Is it ok when I say: I will complete the job in this week? Is in necessary?
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Another way to think about the usage is to recognize that adding any preposition (within, of, for, in) to a time expression makes the construct a prepositional phrase, and prepositional phrases qualify nouns. For example: "In this week's Newsweek is an article on..." (The Newsweek that was published this week) or "In this week's debate..." (the debate that was held this week.)
Time expr