It is sold at VND25,750 on the black market, up 0.08% from the weekend.
Vietcombank's dollar selling rate was steady at VND25,454.
The State Bank of Vietnam (SBV)’s reference rate remained unchanged at VND24,245.
The dollar has strengthened against the dong by 4.23% in the year to date.
Globally, stronger than expected U.S. labour market data boosted the dollar and U.S. bond yields as odds of September rate cut fell below 50%, Reuters reported.
The dollar index was up 0.2% at 105.3, adding to Friday's gains, while the Korean won led losses in Asian currencies with a 0.9% fall.
The euro fell 0.3% in early-morning trade in Asia to a one-month low of $1.0764.
Against the dollar, the yen fell 0.1% to 156.87.