The Derry GAA star was shown a straight red card by referee Raymond Hetherington at Seaview following his clash with Crues skipper Colin Coates.
The lengthy absence of their top scorer will be a massive blow to Glenavon who are fourth in the league table.
The 32-year-old has scored 17 goals in the current Irish Premiership campaign.
"Eoin is a big player for us. There is no denying it," said Glenavon player-manager Gary Hamilton.
"We do not really have a player who runs behind defences like he does.
"Any team would miss a striker who has scored the number of goals he has.
"But we just have to get on with it and keep trying to win games of football."
Glenavon striker Eoin Bradley has been suspended for six matches for a head-butting offence during the recent Premiership match at Crusaders.