Edmund, who left Queen's in the quarter-finals thanks to fellow Brit and eventual champion Andy Murray, will face last year’s Aegon Open semi-finalist Alexandr Dolgopolov in the second round on Tuesday in Nottingham.
“I’m playing well. I just have to take it one step at a time,” said Edmund, who is ranked 68 - his career high thus far.
“The tennis calendar is incredibly long, so it’s normal to go through ups and downs and you want to keep the ups as long as possible and the downs as short as possible. You have to be realistic with what you’re doing. I’m working hard and feeling good about my form at the start of this grass court season, so I’ve got to try and keep it going.
Steve Johnson and Pablo Cuevas reach Nottingham final
“I’ve always said grass is probably my least strong surface, so I needed to work on it and I’ve really bought into that at practice. I’ve spent a lot of hours on court. It’s a different game style on grass, the ball comes to you at a different speed.”
Edmund joins compatriot Dan Evans in the last 32 of the competition.
Wildcards James Ward, Brydan Klein and Alex Ward - all flying the flag for Great Britain went out in the first round on Monday.
'We're not backing off' - Djokovic: Nadal, Federer and I can still beat younger stars
Highlights: Djokovic beats Sonego to set up Nadal final