At 36, Anderson is at the twilight of his career but McGrath believes the Englishman is not yet done and the next target for him will definitely be Kumble's (619) record.
Broad can move into fourth place on this list at The Oval itself if he takes three more wickets during the match.
The 36-year-old Anderson needs seven wickets to overtake McGrath's haul of 563 when he spearheads England's attack in the fourth Test against India.
Legendary Australian fast bowler Glenn McGrath thinks that the ability to adapt to different conditions has made Virat Kohli a great player. In an exclusive chat with IndiaTV, the veteran who holds the record for the most Test wickets by a seamer in history shed light on a number of talking points of the ongoing Test series between India and England.
When asked whether Kohli currently is the best international captain going around, the Aussie chose to reserve his opinion until after the Test series is over.
Glenn McGrath said though the Indian bowlers have been doing well in recent times, batting remains their strength.
In India's last tour to Australia in 2014, Kohli scored four centuries, including two in Adelaide and one each in Melbourne and Sydney.
On India's tour of Australia later this year, McGrath said despite the good performance in South Africa, Australia would win.
The lanky fast bowler is currently with the Kerala team, which will face Vidarbha in the Ranji Trophy quarterfinals beginning on December 7.
Arjun recently hit headlines after he became a net bowler for the India's women's cricket team on eve of their final against England at Lord's in ICC Women's World Cup.
As per reports, the Australian players have agreed to attend the training camp in Darwin on August 10 but will not leave for Bangladesh a week later unless an agreement is reached with the board.
The former Australian speedster feels it is very rare to find someone who can bowl really fast and said he is always looking out for such exceptional talents.
Glenn McGrath said taking up coaching after retiring from the game was a decision that came about after a lot of consideration but he had been enjoying it.
Australia bowling legend Glenn McGrath praises the current crop of fast bowling resources in Team India
India’s batting legend Rahul Dravid, popularly known as the ‘dependable’, on Friday admitted that the greatest fast bowler he had faced was Aussie pacer Glenn McGrath.
Perth: Australia's rookie pacer Joel Paris is set to don Glenn McGrath's No.11 jersey when he makes his likely international debut in the first cricket ODI against India on January 12.Paris, 23, is the same
Mumbai: Australian fast bowling legend Glenn McGrath believes India's flamboyant batsman and Test skipper Virat Kohli is the right person to lead the team and his aggressive approach both on and off the field is
Melbourne: Former Australian quickie Glenn McGrath is disappointed with the quality of pace bowling in the ongoing cricket World Cup and feels Sri Lanka's Lasith Malinga and Australia's Mitchell Starc are the only two who
Brisbane: Former fast bowling great Glenn McGrath says playing with a passion was a must for cricketers but he would not appreciate if kids are involved in fiery on-field spats.In the ongoing India's tour of
Sydney: Australian fast bowling legend Glenn McGrath has backed Shane Watson and predicted a return to form for the struggling all-rounder in the fourth Test at the Sydney Cricket Ground (SCG) beginning Tuesday.Watson has endured
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