In response, Warwickshire made 125 all out, with him ending the innings not out on 3.
Constantine, who finished with four for 82, ended the innings quickly on the second morning.
Griffin ended the innings not out on 83.
Despite this New Zealand ended the innings at 303/8.
Baker ended the innings not out on 37, with the match ending in a draw.
He ended the innings 42 not out, hitting five 4s having faced 41 balls.
They ended the first innings on 153 and Sussex made 109 in the second innings.
One batsman was run out before King returned to take 4 more wickets, ending the innings with 9 for 62.
They ended the last four innings by grounding into double plays.
He ended the fourth and sixth innings by striking out.