The 23-year-old said he expected Britain's Draper, who reached a Grand Slam semi-final for the first time, to be a strong contender.
Defending champions Iga Swiatek and Carlos Alcaraz powered into the second round of the French Open on Monday.
IMAGES from Day 1 of the US Open matches played at Flushing Meadows, New York on Sunday.
Team Europe and Team World are tied at 2 after one day of the Laver Cup after play opened Friday in Berlin.
Tsitsipas, who triumphed at the Monte Carlo Country Club in the last two editions, was never in the mix against Fritz
Andrey Rublev moved into his third Masters final after fighting back from a set down in Monte Carlo to beat American Taylor Fritz 5-7, 6-1, 6-3 on Saturday to set up a showdown with Danish teenager Holger Rune.
Carlos Alcaraz will aim to reinforce his status as the new all-court monarch of men's tennis with a third successive Wimbledon title
Nadal appeared close to retiring mid-match on Wednesday on Centre Court but he found the will to beat Fritz
Novak Djokovic dug out a 6-7(4) 6-1 6-4 win over Czech Jakub Mensik on Friday to advance to the semi-finals of the Shanghai Masters, where he will face Taylor Fritz.
Here is what you need to know about the year's Australian Open:
Teenager Taylor Fritz earned the chance to face his hero Roger Federer after the American defeated an unranked French qualifier on Tuesday to reach the second round in Stuttgart. Federer will be playing his first match in nearly a month after recovering from back pain and skipping the French Open, as he ramps up his preparations for Wimbledon. Number 65 Fritz has had time on court with the Swiss legend -- a Wimbledon training session a year ago - but booked his place into the match of his life with a 3-6 7-6 (8/6) 6-1 win over Fabrice Martin on the grass at the Weissenhof Club. Fritz, 18, said he will not worry with nerves when he faces one of the best players on the planet. "I have nothing to lose, there is no pressure on me, I don't think there will be any nerves." The teenager said he had watched and admired Federer as a boy aged 11.
Former world number one Novak Djokovic, the last surviving member of tennis' "Big Four", said he does not plan on stopping any time soon but admitted that the retirement of rivals Roger Federer, Andy Murray and Rafa Nadal has been overwhelming.
Britain's Jack Draper thrashed Denmark's Holger Rune 6-2, 6-2 to collect the biggest title of his career at Indian Wells on Sunday.
Alexander Zverev into ATP Finals semis after straight sets win over Carlos Alcaraz
Nadal had said that he did not know if he would be fit to play against Australian Kyrgios, after appearing close to retiring mid-match against Fritz on Centre Court.
The 19-year-old Czech Jakub Mensik beat his childhood idol Novak Djokovic in the Miami Open final in an upset for the ages on Sunday.
Osaka takes equity stake in crypto exchange FTX
Aryna Sabalenka inched closer to becoming the first woman since Serena Williams (2012-14) to win consecutive US Open titles.
Factbox on Italy's Jannik Sinner, who beat Germany's Alexander Zverev 6-3, 7-6(4), 6-3 in the Australian Open final
Zverev fresh for Australian Open final after being spared gruelling Djokovic test
Fonseca cruised through the first set before Fearnley found his groove in the second to level the match on a windy day in the California desert.
Novak Djokovic was given an early scare but continued his bid for a record-equalling eighth Wimbledon trophy and standalone 25th Grand Slam title by beating Italian Flavio Cobolli.
The 33-year-old, a record eight-time winner on the Melbourne Park Arena, slipped during the third set of Friday's third-round match against Taylor Fritz and disappeared off Rod Laver Arena for treatment.
Tenth seed Lorenzo Musetti rallied from a set down to beat Frenchman Giovanni Mpetshi Perricard in the first round of the US Open on Tuesday even as Carlos Alcaraz mauled big-serving American Reilly Opelka and veteran Venus Williams made an emotional exit.
Carlos Alcaraz suffered a shock 6-1, 7-5 defeat against Norway's Casper Ruud in his opening match at the ATP Finals
IMAGES from Day 10 of the Wimbledon 2022 Championships at the All England Lawn Tennis and Croquet Club in London, on Wednesday.
The British duo squandered two match points in a nerve-jangling second set tiebreak and looked to be heading out as the Belgians moved ahead in the third set, leading 9-7.
Djokovic, seeking a record-extending ninth title in Melbourne, was cruising after winning the opening two sets of his third-round clash but a slip at 1-1 in the third set almost derailed his progress.
Karolina Pliskova warmed up for Wimbledon in the best possible fashion on Saturday by powering past Angelique Kerber 6-1, 6-4 to win the Eastbourne title.
Dimitrov was showing signs of fatigue from his three-hour third-round match earlier in the week and could do little to stop the Spanish world number three, who next faces Argentine Francisco Cerundolo.
A defiant Rafael Nadal won an all-Spanish clash of the generations taming teenager Carlos Alcaraz 6-4, 4-6, 6-3 to stretch his winning run to 20 matches on Saturday and clinch a place in the Indian Wells final. He will take on American Taylor Fritz in Sunday's championship in the California desert where a victory would see the 35-year-old equal Novak Djokovic's record of 37 ATP Masters 1000 titles.
Novak Djokovic's bid for a record 25th Grand Slam title kicked off on Monday with an easy win over qualifier Radu Albot in the US Open first round.
Australia now have the opportunity to avenge last year's final defeat by Italy after world number one Jannik Sinner inspired the holders to a 2-1 victory over Argentina.
The Indo-Canadian got a walkover in their quarter-final clash against France's Benoit Paire and Stan Wawrinka of Switzerland.
Nadal appeared close to retiring mid-match but found the will to beat Fritz
Novak Djokovic's battling victory under the lights of Arthur Ashe Stadium made him the oldest man to reach the last 16 at the US Open.
Wimbledon attracts celebrities the way the US Open, the French Open and the Australian Open can't.
Italy's Matteo Berrettini beat Brazil's Joao Fonseca to give his side a flying start and Matteo Arnaldi then outlasted Thiago Monteiro to put the hosts into a 2-0 lead.
Novak Djokovic begins his hunt for a fifth Flushing Meadows crown when he meets Moldovan Radu Albot