If you get 95 LP or more in your division, it should round up to your series.
Having to win an entire game just for 5 or less LP is bullshit because it basically means you have to win 3 out of your next 5 games inside your division and 4 out of your next 6 games to change tiers. It's already hard enough to win them already, much less for a measly 5 or less LP.