The midfielder has been out of action since Boxing Day and remains on the treatment table, along with a number of other Gunners stars including Mesut Ozil and Jack Wilshere
The Welshman last played for the Gunners on Boxing Day and has repeatedly suffered setbacks in his bid to return – with two planned comebacks already scrapped.
Now Wenger claims Ramsey is still a fortnight away from pulling on a Gunners shirt once again, while Mesut Ozil, Jack Wilshere and Laurent Koscielny also remain on the treatment table.
"It's difficult to fight with half of the team out,” Wenger told his post-match press conference after Arsenal's 2-2 draw with Swansea on Tuesday.
“None of them [Ozil, Ramsey, Wilshere and Koscielny] are close to coming back. Koscielny is out for a while, after that Ozil is at least two to three weeks.
“Ramsey is maybe the closest. Maybe two weeks, but he's had little setbacks. Sometimes scar tissue will bleed a little bit and we have to slow down again.
“When a guy has a tendon injuy in a very sensitive place it's difficult. You always have to push, but not too far."
Arsenal's draw with Garry Monk's Premier League strugglers saw them drop six points behind league-leading Chelsea.