At 0741 GMT, commercial banks quoted the shilling at 84.00/20 per dollar, the same level it closed at on Friday.
"We expect the shilling to trade within a range of 83.90-84.30 with a bias of further gains should demand (for dollars) fail to materialise," Bank of Africa told clients in a research note on Monday.
The shilling has gained 1.2 percent this year due to the central bank's tight monetary policy stance and analysts said it could touch 83.50 per dollar this week, helped by the central bank mopping up liquidity.
Traders said they expected the central bank to continue to soak up liquidity via repurchase agreements after the interbank interest rate fell to 9.4 percent on Friday from 10.0 percent the previous day.
"The central bank will continue mopping up to support the currency. Liquidity has increased because of government maturities about 30 billion shillings ($356.6 million) in debt is expected to mature this month," said a trader at one commercial bank in Nairobi.