The 24-year old, who is in his second season on loan with the MLS leaders from Tottenham, is struggling with an ankle problem sustained in last weekend's 2-1 win over Seattle Sounders in which he opened the scoring with a 25-yard thunderbolt inside two minutes.
With the Quakes' playoffs spot sewn up, it could be a good time for Dawkins not to be risked for this weekend's clash with FC Dallas but Yallop has made it clear that the club are still gunning for the Supporter's Shield title which they lead by five points from Sporting Kansas City.
"We're not going to rest guys now all of a sudden [because] we've made the playoffs," Yallop said. "We want to make sure we're playing well, focused and together heading into the playoffs. That's important.
"But, again, anyone who has anything (in regards to injuries like Dawson), we won't risk him, for sure. 'Risk' is a different word from 'resting.'
"We're trying to get the Supporters' Shield. It's unfair for our team that's gone all the way, guys have played and put the minutes in, all that fighting and scrapping, to leave them out."