Extending ARC and resident visa for just 1 month

I’m finishing my old job and getting a new one a month later as my contract runs out at the end of this month. However I have a gap of one month. I was thinking of getting the ARC extended for 1 month and working that extra month instead of bumming around doing nothing? Is this possible??? Will they also extend my resident visa and ARC for 1 mth without going through a lot of hoops???