Beck was named to the first team while White was picked for the second team.
"I'm proud of what they have accomplished," said SIUE Head Coach Paula Buscher.
Beck is second in scoring (13.7 points per game) and second in rebounding (6.4 per game) on this year's squad.
"Donshel has worked extremely hard on her game," said Buscher. "The one thing you love about Donshel is she is going to compete and gives everything she has. She has one speed and is going to play hard all the time."
White leads the team this season in scoring (14.2 per game) and assists (2.7 per game).
"I've said this before. You know what type of athlete Lauren is when she trains for a couple weeks and wins the OVC outdoor heptathlon," said Buscher. "She has worked hard on her game as well and is a great defender. She is someone who is able to attack the rim on offense."
SIUE begins the OVC Tournament Thursday at 3 p.m. against Austin Peay. The OVC Tournament is being played at the Ford Center in Evansville, Indiana.