The 23-year-old picked up the injury during Saturday's win at Millwall, in which he scored the decisive goal, and despite reporting for duty with the rest of his international colleagues has now been sent home.
Meyler, a £1.5million signing from Sunderland in January, needed stitches at Millwall, but is expected to be fit for Saturday's league game at Brighton.
"David got a horrible knock on his knee, although thankfully it looks to be ok," said Hull boss Steve Bruce after Saturday's 1-0 win.
"When he went down holding his right knee, I feared the worst. He's got stitches, but he looks as though he's going to be ok."
Bruce also has injury concerns over defender Abdoulaye Faye, who is expected to be out for at least a fortnight after sustaining a calf injury at Millwall.
"Abdoulaye's got a calf problem and we'll see how that is, but it's usually two or three weeks," Bruce added.