Depends on the rim width.

If your rim is between 17mm and 23mm wide, (this measurement is inside width, not outside width) you will be ok. All things considered, it is probably a safe bet that your rims fall within this range. 1 inch = 25.4mm

Short answer, you should be fine.

Note, I've attached a link to a page on our website where one can cross-reference what tire sizes will fit on which rims. This page also includes a diagram defining bicycle rim width and diameter measurements.

http://www.schwalbetires.com/tech_info/tire_dimensions