Stripped of the India-England match, Eden Gardens' hopes of staging another World Cup match involving the co-hosts were dashed on Tuesday by ICC CEO Haroon Lorgat.
However, the venue will host the three non-India matches following a positive report from the ICC inspection team that visited Eden on Monday.
"It may not be practically possible to allot an India match to Eden at this juncture," said Lorgat when asked about the Cricket Association of Bengal's (CAB) hope of having the India-Ireland match on March 2 shifted to Kolkata from Bangalore.
"We haven't received anything from the CAB as of yet," Lorgat added.
The only India match originally scheduled at Eden, against England on February 27, was shifted to Bangalore after the ICC deemed the stadium not ready. "The progress has been significant since we last saw it (on January 25)," said Lorgat. "We believe that the stadium will be ready for the games scheduled in March."
In Kolkata, CAB president Jagmohan Dalmiya refused comment but joint-secretary Biswarup Dey confirmed receiving a mail from ICC forwarded by the BCCI giving them the go-ahead for the remaining three matches.
"We will continue to try and get the India-Ireland match here," Dey said.