I should think

[KLPNO]

Hello everyone
I'd like to ask about the meaning of "I should think" in the following context.

He silently handed his identification to the armed man and then his precious ticket to an elderly fellow wearing the gray uniform of a worm caretaker.
"Master Brace" was written over the chest pocket.
"All the way to the Port Krauss, sir? asked the old fellow.
"Yes, I am."
Offering a wink and jolly laugh, Brace said, "Well, sir. You and I should get to know each other by the end of the line, sir. I should think."

In this story people travel inside of worms instead of trains.

Does "I should think" mean here "I'm sure"?

[fromatto]

Hello everyone
I'd like to ask about the meaning of "I should think" in the following context.

He silently handed his identification to the armed man and then his precious ticket to an elderly fellow wearing the gray uniform of a worm caretaker.
"Master Brace" was written over the chest pocket.
"All the way to the Port Krauss, sir? asked the old fellow.
"Yes, I am."
Offering a wink and jolly laugh, Brace said, "Well, sir. You and I should get to know each other by the end of the line, sir. I should think."

In this story people travel inside of worms instead of trains.

Does "I should think" mean here "I'm sure"?

Yes !