Both were hurt in Sunday's 28-14 loss to Green Bay and the team said on its Web site that both need surgery and neither will play again in 2004.
Lott suffered a torn pectoral (chest) muscle and Morton a torn right knee ligament. Both will be placed on the injured reserve list.
"It's a shame, because both of those guys worked extremely hard this year," said Coach Joe Gibbs, who also said veteran all-pro linebacker LaVar Arrington, who aggravated his surgically-repaired right knee injury in practice last week, could miss another month.
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