The LA Clippers are eliminated from first place.

To show that LA Clippers is eliminated from first place, we start with the current conference standings:
            Team	W	L	GL	PCT	GB
   Oklahoma City	68	14	0	0.829	0.0
         Houston	52	30	0	0.634	16.0
          Denver	50	32	0	0.610	18.0
       LA Lakers	50	32	0	0.610	18.0
     LA Clippers	50	32	0	0.610	18.0
       Minnesota	49	33	0	0.598	19.0
    Golden State	48	34	0	0.585	20.0
         Memphis	48	34	0	0.585	20.0
      Sacramento	40	42	0	0.488	28.0
          Dallas	39	43	0	0.476	29.0
         Phoenix	36	46	0	0.439	32.0
        Portland	36	46	0	0.439	32.0
     San Antonio	34	48	0	0.415	34.0
     New Orleans	21	61	0	0.256	47.0
            Utah	17	65	0	0.207	51.0
           Total	638	592	0

LA Clippers can finish the season with at most 50 + 0 = 50 wins and will finish the season behind the following teams:
Oklahoma City has already won 68 games.
Houston has already won 52 games.