The Israeli midfielder was jeered by a section of the travelling support when he came on as a substitute in Sunday's 2-2 draw at Liverpool.
Benayoun revealed on Twitter this week that fans had targeted him since a February interview in which he claimed former Liverpool team-mate Fernando Torres had been mismanaged.
He wrote on Monday: "The booing came from some small part of the Chelsea fans that have been doing it in the last few weeks since I did an interview about Torres. But I don't really get bothered about it.. people need to understand what they read.
"There is (sic) some other issues that the club is taking care (sic) and try to handle them in the right way.. as sometimes people are crossing the limit.
"And I'm sure the club will sort it. What's important for me is to do the best for the team till the end of the season."
Benayoun provoked some of the Stamford Bridge support last season after he kissed the Arsenal badge during his loan spell at the Emirates.
He joined Chelsea on a three-year deal in June 2010 and appears set to leave when his current contract ends this summer.