Hello K6ngsepp,
If he is rather loose-passive player then I wouldn't really doubt that he is going to bet with worse or either missed draws there. For that reason you can as well even consider Checking behind on turn and reevaluate it on further actions.
Although if you think the guy could have a lot worse pairs/draws in the range. Then just bet a bit bigger on flop and ship the turn.
Best Regards.