Morrison was set to tee off at 13:40 local time with a four stroke advantage over World Number Two Luke Donald and Scotland’s David Drysdale.
Poulter parred the last three for a 69 that was the best round of the day so far, but whether his three under total put him back into contention depended on Morrison.
He resumed four clear, but that became three when he hit his second shot into sand and failed to get up and down.
Drysdale parred it, Donald started with two pars in a row and it became a four-way tie for second when Alvaro Quiros birdied the first and fellow Spaniard Rafael Cabrera-Bello picked up shots on the second and third.
Poulter said: "I played lovely - really, really nicely. The course is playing very, very tough. It's the hardest wind and it's gusting."
Ernie Els remained five under after 11 and had the chance to post a score that would almost certainly give him a chance going into the final round of an event he has not won in 16 attempts - and this on a lay-out where he collected a record seven World Match Play titles.