Transition metal oxides (TMOs) with high work function (WF) show promising properties as unipolar p-type contacts for transition metal dichalcogenides. Here, ambipolar field-effect transistors (FETs) enabled by bilayer WSe2 with self-assembled TMOs (WO2.57) as contacts are reported. Systematic material characterizations demonstrated the formation of WO2.57/WSe2 heterojunctions around nanoflake edges with Se atoms substituted by O atoms after air-exposure, while pristine properties of WSe2 almost sustained in inner domains. As-fabricated FETs exhibited both polarities, implying WO2.57 with lowered WF at edges can serve as both the p-type and n-type contact for inner WSe2. Noteworthy, greatly reduced contact resistance and enhanced channel current were achieved, compared to the devices without WO2.57 contacts. Linear drain-source current relationship from 77 K to 300 K indicated the ohmic contact between edge WO2.57 and inner WSe2. Density functional theory calculations further revealed the WO2.57/WSe2 heterojunction formed a barrier-less charge distribution. These nm-scale FETs possessed remarkable electrical conductivity up to ~ 2600 S/m, ultra-low leakage current down to ~ 10-12 A, robustness for high voltage operation and air stability, which even outperformed pristine WSe2 FETs. Theoretical calculations revealed the high conductivity was exclusively attributed to the air-induced WO2.57 and its further carrier injection to WSe2.