Another thing I find useful is tapping along with the tempo to songs whenever I listen to music. Just the 1-2-3-4, 1-2-3-4, etc. (assuming it's written in 4/4, otherwise it's 1-2-3, 1-2-3 or whatever); I find this also helps reinforce a sense of timing.

In most cases, I think it's something that comes with making the effort (but make sure you relax while playing along to a metronome or you could turn into a boring player who sounds like a robot - I know two such players, both technically brilliant, but so dull to listen to).