Rodriguez has scored four times for Saints this term while his 25-year-old team-mate Lallana has been in good form for the south-coast club, who are flying high in the Barclays Premier League.
Hodgson said of their inclusions: "Adam was with us once a long time ago but he came in late and didn't play, but we did see him in training.
"We've been following him very closely and he's played a major part in Southampton's rise to the top this season. It was quite obvious we would pick him.
"When it comes to Rodriguez, Danny Welbeck at the moment has been injured. We hope he'll be fit to play but I see in Rodriguez someone who could fill that Welbeck role.
"He's a wide forward who likes to go forward and attack people even without the ball and get in the penalty box. We think he's played well for Southampton and think this might be an interesting opportunity for him."
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