Suarez, 24, has been photographed apparently raising his middle in the direction of supporters when leaving the field at Craven Cottage, in a game that saw Jay Spearing sent off for a challenge on Moussa Dembele.
Dalglish was reluctant to take a stance on the incident until having seen proof of the alleged gesture, although he intimated he could act if Suarez is found guilty.
He said: "I haven't seen the picture and I'm not taking anybody's word for it. If you show me the picture and I'm convinced that what you're saying is true, then I've got a decision to make. But until you have proved it is true to me, I won't comment."
The controversy follows a race row involving the Uruguay international and Manchester United defender Patrice Evra in October, allegations the former denies.