Meech was dislodged from La Lova shortly after the start of Wednesday's race, won by the short-priced Petrelle.
A Victorian Jockeys' Association statement said Meech would have scans for a suspected broken collarbone.
Meech, who went winless on Wednesday, sits third on the Australian jockeys' table with 116 winners and had a book of eight rides at Benalla on Thursday and three rides at Caulfield on Saturday.
Fellow jockey Brad Rawiller, who missed riding Think About Me following a barrier mishap before the first race on Wednesday, expects to be fit to ride at Benalla.
“Just a side note…after getting my ankle jammed up in the barrier today at Geelong it has responded well and I will be right to ride at Benalla tomorrow,” Rawiller tweeted.