The dollar index, which measures U.S. currency against six key rivals, eased 0.077% at 103.85, after slipping 0.2% on Monday.
The index is up 2% this month as resilient economic data bolstered expectations that interest rates may stay higher for longer.
That view gained more traction in the wake of Fed Chairman Jerome Powell on Friday suggesting that further rate increases may be needed to cool still-too-high inflation, though his promise to move with care at upcoming meetings provided for some uncertainty.
With the U.S. central bank highlighting the interest rate path will be heavily dependent on data, the spotlight will be on a batch of economic indicators this week, including payrolls and personal consumption expenditure.
First up is job openings figures for July later in the day.