Green’s Dictionary of Slang

deadpan adj.

also deadpanned
[SE dead + pan n.1 (4); deadpan (as n., adj., adv.) is cited as SE in OED, though pan is acknowledged to be ‘orig. US slang’; it would thus seem likely to have been sl. at its coinage]

(US) expressionlesss.

[US]N.Y. Times 11 Mar. viii. 6/1: Dead pan, playing a rôle with expressionless face.
[UK]P. Cheyney Don’t Get Me Wrong (1956) 12: They [...] look around with that sorta dead pan look that always comes on to a Mexicano’s puss when he’s goin’ to do a job of work.
[UK]S. Jackson Indiscreet Guide to Soho 48: With tired, dead-pan expressions.
[US]C.S. Montanye ‘Frozen Stiff’ in Popular Detective Mar. 🌐 Mullin, dead-panned and fishy-eyed, nodded.
[US] letter in N.Y. Daily News 12 Sept. 11C: It’s enough to make even deadpan Gromyko laugh [W&F].
[US]E. De Roo Big Rumble 8: Donald stood there defiantly watching him. His expression was dead pan.
[UK]G.F. Newman You Flash Bastard 223: Sneed’s tone was mocking, but his expression dead-pan, and briefly got DS Feast going.
[UK]A. Payne ‘Willesden Suite’ Minder [TV script] 34: Arthur is unsure whether the dead-pan Dave is really winding him up or not.
[UK]A. Close Official and Doubtful 275: The deadpan insults rained on complete strangers were a joke.