To be certain, you should:
* Check the part numbers: Find the part number for the fuel pump in both your 1997 Suburban and the 1999 Suburban you're considering. If the numbers match, you're good to go. If not, it's risky.
* Consult a parts store: Auto parts stores (like AutoZone, Advance Auto Parts, etc.) have databases that can tell you for sure if the fuel pump is compatible. Give them the year, make, and model of both vehicles.
* Check online forums: Searching online forums specific to Chevy Suburbans (like on sites dedicated to vehicle repair) might reveal if others have successfully made this swap.
Don't assume compatibility just because they're the same vehicle type and relatively close in model years. The risk of a mismatched part is not worth the potential cost and inconvenience of a failed fuel system.