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
          Denver	57	25	0	0.695	0.0
   Oklahoma City	57	25	0	0.695	0.0
       Minnesota	56	26	0	0.683	1.0
     LA Clippers	51	31	0	0.622	6.0
          Dallas	50	32	0	0.610	7.0
     New Orleans	49	33	0	0.598	8.0
         Phoenix	49	33	0	0.598	8.0
       LA Lakers	47	35	0	0.573	10.0
    Golden State	46	36	0	0.561	11.0
      Sacramento	46	36	0	0.561	11.0
         Houston	41	41	0	0.500	16.0
            Utah	31	51	0	0.378	26.0
         Memphis	27	55	0	0.329	30.0
     San Antonio	22	60	0	0.268	35.0
        Portland	21	61	0	0.256	36.0
           Total	650	580	0

LA Clippers can finish the season with at most 51 + 0 = 51 wins and will finish the season behind the following teams:
Denver has already won 57 games.
Oklahoma City has already won 57 games.
Minnesota has already won 56 games.