In general, the IR output from your laser will be of no concern to you. As was stated previously, the IR beam is collimated and collinear with the green beam. The IR divergence is slightly higher due to the difference in the index of refraction for IR wavelengths, but at the distance at which the IR beam reaches a non-negligible diameter the power density will have fallen below the level needed to cause injuries.
There ARE three situations (that I can think of right now) where the infrared output IS relevant:
1) Typical anti-violet/anti-blue/anti-green safety glasses (e.g. the yellow ones that block 200 to 550nm) will stop the green beam, however they will not stop the IR beam at all. It will be as if the safety glasses aren't even there - they will pass the IR at full power. If you're using the laser (i.e. laser is powered ON) in a situation where you DO need safety glasses, such as when adjusting external optics such as a mirror, you will be at risk due to the IR beam. Unless your safety glasses are specifically rated to block IR in addition to green, you must assume that the glasses will pass IR at full power, and then decide/act accordingly.
2) If the green laser stops working, do not look into the laser cavity for any reason. When these things break, it's usually the crystal set that fails, especially if the laser dies after being dropped. In this case, the pump diode will still function normally, and will continue to emit hundreds of mW when power is applied. Looking into the laser cavity will expose your eyes directly to the IR laser, and bad results will follow. Note that everything in 1) above applies here as well.
3) Metering the laser. If you just wanted to find the green mW, the IR output will throw off your reading.
Other than those cases, you can more or less forget about the IR. Even if you got rid of the IR (IR filter) the green beam would still be dangerous by itself, which means you'll want to keep it away from your face no matter what. If you avoid the green then you avoid them both, so in that regard the IR can be safely ignored.
The laser module, if it's what I'm thinking, probably has a lens that you can adjust or remove. You can get IR filter glass and mount one to the lens carrier. If it were me I would probably glue the IR filter behind the lens to keep it out of the way, but maybe there's a better place to put it.