"Glasgow are fighters, they are battlers," said Elwood, who has seen his men pick up six points in his first two games in charge since Michael Bradley's departure.
"They are a very physical side. They have a good set of forwards and they compete very heavily at the breakdown.
"They work very hard in their defense and they are very committed. We won't get anything easy over there.
"It is always a very tough place to go. We will be looking forward to a 'roll your sleeves up' type of affair!"
Connacht head to Scotland on the back of a heartbreaking defeat to the Scarlets in West Wales last weekend.
Having thrashed the Dragons on the opening weekend of Magners League action, Connacht looked set for another impressive victory in Round 2.
The Irishmen led 33-30 deep into stoppage time before a Sean Lamont try at the death robbed them of their first away win since April 2008.
And while Elwood has requested that his players stand up to the physical challenge posed by Friday night's opponents, he has insisted that they must do see legally after witnessing a brace of yellow cards swing last Saturday's game in the Scarlets' favour.
"We could have put a lot of things to bed with that one game," added Elwood.
"But there were positives. We scored three nice tries, we did a lot of good things and got something out of the game.
"The guys showed great character and it's a huge testament to the team that they got a foothold in the oppositions half three times and scored three times.
"It was a big night defensively and there were a number of positives to come out of it, but it doesn't help having to make changes to the defensive pattern when you have a man in the sin-bin. Unfortunately we had two people in the bin which cost us 14 points, though we clawed it back to take the lead.
"Discipline is an issue, we've spoken to Frank (Murphy) and Ronan (Loughney) and to the rest of the squad to discuss the four yellows in two games. It is hard enough competing with 15 players never mind losing two.
"I spoke to the two individuals concerned and spoke to the lads collectively and said: 'lads, we've got to stop this. Both cards were warranted and it's just killing us, you just can't do it'. It cost us 14 points, which was the game."
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