Spotting a draw

Is there a way for the player with the upper hand to spot a potential draw in order to avoid it? 

1. Pay close attention to the enemy king and make sure it can always move. This is arguably the most important rule when you're in a completely won endgame. It's pretty self-explanatory, but you'd be surprised how many people fail this simple task and accidentally draw.

2. Don't showboat. It may be tempting to be a bit of a jerk and promote five or six queens when you're playing against someone who takes "never resign" to its logical extreme, but seriously. Don't. Be quick and economical when checkmating your opponent, especially if your time is low and there's no increment.

3. Watch for potential tricks and forcing moves that can take away all legal moves. Beware of obvious throwaway sacrifices that you shouldn't accept (if you have a choice) because doing so would stalemate the opponent. If your opponent is threatening a forcing move to draw (which will almost always be a check), find a way to avoid it if you can.

4. Know your basic checkmates. King and queen & king and rook are very easy checkmates, but you have to be careful about the double bishop & bishop and knight mates. The double bishop mate is doable with practice, but the bishop and knight mate is notoriously difficult; even grandmasters have struggled to pull it off occasionally, especially when time is tight. You can never practice these two particular checkmates enough, even though they are very rare.