TCASII ALERT.

Narrative

AFTER TKOF FROM RWY 31L AT PSP; DEP CTL ISSUED US A CLRNC TO TURN TO 050 DEGS AND CLB AS RAPIDLY AS POSSIBLE THROUGH 4000 FT UP TO 13000 FT. IN THE CLBING TURN; WE RECEIVED A TCASII TA WITH TFC SHOWING AT 12 O'CLOCK ABOVE US. THE TCASII GAVE AN UNINTELLIGIBLE AURAL WARNING WITH A 'DON'T CLB' RESOLUTION. AS THE FO LEVELED OFF THE ACFT; I SAW A LIGHT ACFT PASS ABOUT 500 FT HIGH AND SLIGHTLY AFT OF US. THE CTLR'S REQUEST FOR A RAPID CLB PUT US INTO A POTENTIALLY DANGEROUS SIT. I BELIEVE SHE WAS CONCERNED WITH THE HIGH TERRAIN NW OF PSP BUT; HAD SHE GIVEN US A BETTER IDEA OF HER TFC CONFLICT; WE COULD HAVE REQUESTED A CLB ON RWY HDG IN VMC WHICH WOULD HAVE PUT US WELL CLR OF THE LIGHT ACFT. SUPPLEMENTAL INFO FROM ACN 289119: I REDUCED PWR AND STARTED TO COMPLY WITH THE TCASII RA. THE CAPT SAW THE TFC OFF TO OUR L AND SAID WE WERE CLR. THE CTLR SAID 'TFC NO FACTOR' AT THAT POINT; BASED ON THE CTLRS REQUEST FOR GOOD RATE CLB THROUGH 4000 FT AND SUBSEQUENT 'NO FACTOR' CALL; I BELIEVE SHE KNEW THE TFC WAS THERE AND FAILED TO TELL US ABOUT IT. I ALSO BELIEVE HER REQUEST FOR A 'GOOD RATE THROUGH 4000 FT' ACTUALLY CAUSED US TO CLOSE ON THE TFC RATHER THAN AVOID IT.