Vietcombank sold the greenback 0.41% lower at VND24,140. Eximbank let the dollar slide 0.33% to VND24,250.
The State Bank of Vietnam (SBV) set its exchange rate at VND23,658, down 0.008%.
The greenback was sold VND24,615 on the black market, same as the previous weekend.
The dollar struggled to gain a foothold on Monday and was languishing at five-month lows as traders looked past stronger than anticipated U.S. jobs data, while growing hopes of China reopening boosted risk sentiment, according to Reuters.
The dollar index, which measures the currency against six major peers including the yen and euro, was down 0.18% at 104.28, its lowest since June 28. The index fell 1.4% last week.