"I didn't think I'd play as much as I have for England, and to do it in a team that is thoroughly enjoyable one to play with makes a series win such as this extra special".
The right-arm pacer became the first England cricketer to take 500 wickets when he bowled Kraigg Brathwaite for four on the second evening of the Lord's Test on Friday.
The 35-year-old's career-best figures of seven for 42 in an innings and a match haul of nine wickets see him overtake Jadeja, who he now leads by 12 points.
England won the Test series against West Indies 2-1.
The highlight for West Indies would be the five wicket win over England in the second Test at Headingley where Shai Hope scored a twin ton. "It just made me more determined to improve".
However, with his dismissal after almost four hours at the crease, the West Indies' hopes of setting England any sort of challenging target disappeared.
"The control he has when the ball is doing a minimal amount, or when it is hooping around, is remarkable".
West Indies paceman Kemar Roach has admitted that he had thought his global career was over after sustaining a serious shoulder injury in 2014. He was up to the pace of Shannon Gabriel, and no Australian will be quicker even if the pitches are. Leg-spinner Devendra Bishoo struck first ball to have Alastair Cook (17) lbw but that merely denied England a 10- wicket victory.
Chase was out for his overnight three and West Indies were 94 for four.
Shane Dowrich, dropped on nought, fell for 14 when a mistimed pull off Toby Roland-Jones gave Broad an easy catch at mid-on.