Barty, who began playing tennis as a child in the Queensland state capital Brisbane, has her eyes firmly on Wimbledon and told reporters her close-knit team would not be getting carried away with what had been achieved. "I don't think she went to the French thinking she had a shot which is maybe why she went there and put no pressure on herself".
She then repeated that clay court form on the grass at Birmingham last week and Tyzzer said it proves she's the most versatile player in the women's game.
It's the same injury which forced her out of the Strasbourg tournament before the Queenslander won the French Open.
"Eastbourne is a very special place for me", said Australia's Barty, 23.
Barty became the first Australian woman in more than 40 years to take the top ranking by claiming her third title of 2019 on Sunday in Birmingham.
WORLD No.1 Ashleigh Barty suffered a pre-Wimbledon injury scare, but believes she will be fit for SW19 next week. Seven-times grand slam champion Goolagong Cawley reached No 1 for a fortnight in 1976. "Just because you are number one or have won a Slam you are not going to win every match you play".
John Newcombe, Patrick Rafter and Lleyton Hewitt, who enjoyed 80 weeks at the summit between 2001 and 2003, are the only other Australians to have been world No.1.
"We will just keep doing the same processes and if she plays her best she is capable of beating anybody, she is not scared of any of the girls". "It really is", said Barty, adding that she planned a low-key celebration with "certainly a beer or two". "But it's certainly just been the most awesome month of tennis for us and really an unbelievable three years".
"We set goals about making it to the top 10. She just wants to get back on the tennis court and have a good hit".
Tyzzer has worked with Barty since her return from her self-enforced exile and helped oversee her rise to the top seed and favourite for Wimbledon next week - though she has withdrawn from Eastbourne due to an arm injury.
Barty trailed 3-0 in the second set but, once again showing her champion qualities, she fought back in typically unflappable fashion, saving a set point at 5-4 down with her seventh ace before eventually prevailing after one hour and 28 minutes.