front part of kitchen sick faucet came off?

This is the kind of faucet where you push on the front part to do plain water flow or spray. That piece where the water actually comes out pulled off. It also is a removable hand sprayer with a metal coiling hose which pulls out.

I can pull out the end of the coiled hose and I can fit it back into the nozzle, but it won't stay hooked. The nozzle which came off has some male screw ridges, but there seems to be nothing inside for it to actually screw onto and hold.

The smaller end of the metal coiled hose which pulls out fits neatly onto or into the end of the nozzle piece, but if I pull on the nozzle at all it comes off and water shoots out all over the place.

Is it possible that there is another small piece which would hold them together? I didn't find anything on the floor or in the sink.

Do you think I'll have to replace the whole quit expensive faucet?

The faucet has initials FP on the front.