These data are from 'Oil & war' (Robert Goralski and Russell W. Freeburg)
Oil production in barrels/day (1938)
[only countries over 20,000, and rounded up]
a) North America
Canada 20,000
United States 3,327,000 (62% from world production)
Mejico 105,000
b)South America
Argentina 47,000
Colombia 59,000
Perú 43,000
Trinidad 48,000
Venezuela 515,000
c)Europe
Romania 133,000
USSR 572,000
d)Asia
Bahrein 23,000
Iran 215,000
Iraq 89,000
Burma 21,000
Brunei 20,000 (northern Borneo)
Indonesia 157,000
In 1945 only Egypt (25,000) and Saudi Arabia (58,000) would join the list. In that same year U.S. production did reach an impressive 4,695,000 (66% from the total).
In case you are interested
Refining capacity in barrels/day (december 1940)
a) controlled by Germany
Germany 69,000
France 152,000
Italy 57,000
Other 38,000 (mainly form Holland, Denmark and Austria)
Total 316,000 (4,1 % from world total)
b)Commonwealth
Canada 222,000
India 37,000
West Indies 558,000 (Aruba and Curacao)
Middle East 427,000
Great Britain 144,000
Total 1,388,000 (21,5 %)
c)Neutrals
United States 4,461,000 (58,1 %)
Iberoamerica 322,000 (3,2 %)
USSR 899,000 (11,7 %)
Sadly the book didn't include data from Japan and Far East. but I would bet on something like 200,000 in Indonesia and 100,000 maximum in Japan (before the war most of Japan's oil came from California, not from the Dutch territories).
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Tankers (June 1938)
U.S.A. 418 2,760,000 tons 25,8%
Great Britain 410 2,672,000 24,9%
Norway 262 1,972,000 18,4%
Holland 112 561,000 5,2%
Italy 78 380,000 3,5%
Panamá 49 450,000 4,2%
France 40 242,000 2,3%
Japan 39 346,000 3,2%
Germany 31 202,000 1,9%
Canada 28 125,000 1,2%
USSR 27 123,000 1,1%
Sweden 17 145,000 1,4%
Spain 16 77,000
Denmark 14 106,000
Belgium 9 65,000
ROTW 105 487,000 4,5%
It sure makes you see Norway with other eyes!