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	52	15	15	0.776	0.0
     San Antonio	48	18	16	0.727	3.5
       LA Lakers	41	25	16	0.621	10.5
         Houston	40	25	17	0.615	11.0
          Denver	41	26	15	0.612	11.0
       Minnesota	40	26	16	0.606	11.5
         Phoenix	39	27	16	0.591	12.5
     LA Clippers	33	32	17	0.508	18.0
    Golden State	32	33	17	0.492	19.0
        Portland	31	35	16	0.470	20.5
         Memphis	23	42	17	0.354	28.0
          Dallas	22	44	16	0.333	29.5
     New Orleans	22	45	15	0.328	30.0
            Utah	20	46	16	0.303	31.5
      Sacramento	16	51	15	0.239	36.0
           Total	500	490	240

LA Clippers can finish the season with at most 33 + 17 = 50 wins and will finish the season behind the following teams:
Oklahoma City has already won 52 games.