Actively traded one-month forwards ended at 134.80/90 per dollar, little changed from Friday's close of 134.75/95.
"There was importer dollar demand from a state company," said a currency dealer asking not to be named.
Two-week and one-week forwards were steady at 133.90/134.00 and 133.60/70 per dollar, respectively.
The central bank through moral suasion prevented the spot rupee from dropping below 132.90/133.20, a limit it set in February.
Central bank officials were not available for comment.