At 0722 GMT, commercial banks quoted the shilling at 105.45/65 to the dollar, compared with Monday's close of 105.30/40.
"There's slight (dollar) demand in the market, though the tight liquidity is slowing down the process of weakening. Demand is from all sectors, all importers," a senior trader at one commercial bank said.
In a sign of the scarcity of shilling liquidity, the weighted average interbank lending rate rose to 25.2328 percent on Monday from 24.5569 percent on Friday.
Traders said the shilling was otherwise expected to trade in a narrow range while the market awaited the outcome of the central bank's Monetary Policy Committee meeting on Tuesday.
Thirteen of 15 analysts polled by Reuters forecast that the bank will keep its benchmark lending rate at 11.50 percent.
--reuters--