The sides were in a desperate battle for SPL survival last term, with Saints prevailing.
Since then, Accies have struggled to respond to the challenge of building a promotion challenge in the First Division, in which they are in seventh place.
However, Goodwin, who started last season at New Douglas Park before switching to Saints in January, says that will make them dangerous opposition.
He has highlighted the threat posed by former team-mate and Accies strike ace Dougie Imrie.
Goody said: "We know this is going to be tough and Accies will be well up for it.
"The battle for survival last season largely came down to a dogfight between ourselves and them and we made it, so I think they will be out to prove a point.
"Hamilton have largely kept the same squad, and when you look at guys like Simon Mensing and Mark McLaughlin, they have seasoned SPL pros.
"However, for me the big danger is Dougie Imrie.
"He makes Accies tick and in my opinion is their best player.
"I am surprised nobody has come in for Dougie as he was a stand-out in the SPL for Accies. He is in good form and I noticed he got two goals against Queen of the South last time out, so he is playing at the top of his game.
"We also have to concentrate on imposing our game on Accies and producing the best performance we can."
Goodwin has also underlined that his side's disastrous home defeat in the Communities Cup quarter-final at home to First Division Ayr has made them more determined not to come a cropper in cup competition to another Division One side.
He said: "The defeat by Ayr is one that still hurts as we know we blew a good chance to make a major semi-final.
"So we are well warned about how dangerous First Division teams can be if we are not on our game.
"Producing a good cup run is something that is important to all provincial teams, and St Mirren are no different.
"We are taking Accies very seriously and the importance of getting the win tomorrow is something no-one at St Mirren is underestimating."
The Saints skipper has just completed a three-match ban that left him a frustrated figure as Saints claimed an outstanding victory over Rangers in Paisley, drew with Dundee United and suffered a last-minute defeat at Kilmarnock.
Goody admits that spell on the sidelines has made him hungry for battle with his former club.
The former Republic of Ireland inter-nationalist said: "Sitting out the three games was very frustrating, but it was a harsh lesson well learned.
"Hopefully to get the chance to come back against Accies would be a massive plus for me but I am taking nothing for granted.
"Perhaps the one benefit for me was that after playing a lot of games, I have had a spell to recharge my batteries and now I just want to get out there and play."