The Mackerel Men came from two goals down to beat Horsham 3-2 in the quarter finals leaving Hinshelwood's side just one win away from their first Senior Cup final in four years.
Brighton, meanwhile, smashed reigning champions Bognor Regis Town 7-2 in the previous round.
Hinshelwood said: "I just want us to perform slightly better than Saturday.
"We’re going to make mistakes, we’re still a very young group coming up against teams that are vastly more experienced than us and sometimes that just shows.
"The message will be to go and enjoy it. It's a great opportunity to test themselves against a real talented group of lads who will be a similar age."
Speaking of a potential trip to the Amex, Hinshelwood said: "It's great for the players but (for) the fans it’s more a day out for them.
"The finanical reward isn’t too great for the football club but (it would) repay them for all the effort, time and money they’ve spent to come and support the team this season.
"It was an incredible following once again on Saturday. 800 people in the wind and rain, and for them to still turn out and get behind us was excellent.
"For them, it would be a thank you for their efforts throughout the season. It would be great to do that and (for them to) get their day out in May that they can look forward to.
"But we’re going to have to perform at our level best and need a bit of luck on the way to get something out of Tuesday night’s game."
Worthing's semi-final takes place tonight at Culver Road, Lancing and kicks off at 7.15pm.