Jeev continues to slip in Dubai Desert Classic
Meanwhile, Westwood (67) stormed to the top even as McIlroy (72) and Bjorn (73) faltered.
Dubai: Jeev Milkha Singh shot a two-under 70 but still found himself falling three places at the end of third round of the Omega Dubai Desert Classic here on Saturday.
He shot 70 but still dropped to tied 29th, down from overnight 26th.
The Indian had three birdies on the front nine on fourth, fifth and seventh and one on 12th on the back stretch, but bogeys on sixth and 13th spoilt his card and at six-under he was tied 29th.
Meanwhile, Lee Westwood (67) stormed to the top of the leaderboard even as Rory McIlroy (72) and Thomas Bjorn (73) faltered.
After finishing his second round 65 with three straight birdies, Westwood, who can take over from McIlroy as World number two this week, picked up shots on three of his first four holes on Saturday en route to a 67 that lifted him to 15 under.
He was one ahead of first round leader, Rafael Cabrera-Bello (70) at 14-under.
Germany's Marcel Siem (68) and Scot Stephen Gallacher (68), who played with Westwood's playing partners, were also tied at 14-under with Cabrera-Bello, who birdied 18 for a 70.
Bjorn, who had held a two stroke advantage after picking up his third birdie of the day at the 10th, finished poorly with bogeys at 15, 16 and 18, but McIlroy, winner here in 2009, birdied the closing par five to end an erratic round on a high.
Bjorn shot four bogeys against three birdies and McIlroy shot four birdies and four bogeys.
McIlroy was down to tied fifth with Martin Kaymer (70), Scott Jamieson (70) and Joel Sjoholm (66).
Former Open Champion Ben Curtis, whose 67 included an eagle at 13, and George Coetzee were alongside Bjorn in a tie for ninth.