The Iranian needed treatment at the end of the first 45 minutes at the DW Stadium after pulling up and holding his hamstring.
Sayyadmanesh didn't return for the second half and was replaced by Tyler Smith, who later went on to score a brace in the final five minutes as City made it successive away wins either side of the New Year celebrations.
City's talented former Fenerbahce ace has only just returned from a torn hamstring having spent four months out injured starting his second game in four days at the DW Stadium, having come through 65 minutes in the 1-0 win at Birmingham City on Friday night.
“It was just a precaution,” Rosenior told Hull Live. “He felt it (hamstring) tighten up and we won't take any risks.
“I won't take any risks with any player. I felt it was the right thing to do to start him because he gives us something so different.
“We've spoken about it before and you can now see it in our game. We can play possession football, but we can also play in behind teams and he gives us that, hopefully he'll be back sooner rather than later,” he added.