Diamantis-led Delta Tankers is understood to have gone to Samsung Heavy Industries (SHI) to sign a contract for two tankers.
Sources says the Greek owner is paying $66m each for the newbuildings. However, it is believed that figure does not include any extras.
The selection of SHI may raise some eyebrows given that 23 of the 25 tankers in the Delta stable were built at Hyundai Samho Heavy Industries.