That includes those who have played for him at UConn. That's an group that held six spots on the 2012 Olympic team and now holds the most spots of any program on WNBA rosters.
But there is one thing Auriemma will not do, no matter how much he personally cares for a player. He will not stretch the truth to make their skills appear better than they are.
"I tell the truth [about UConn players] and I think that's why our players do well at the next level," Auriemma said. "I tell [WNBA executives] the truth and I think they appreciate that I do. I don't want anyone coming back to me and saying that I lied to them about a player.
"It's just like when I am recruiting a player in high school and a coach telling me something about a kid that turns out not to be true. So I tell [WNBA officials] what a kid's strengths are, where I think they can help you, if my player can help you with a specific need you might have.
"If I don't think one of my players is right for a team, I will say that, too. I don't want anyone to fail. I don't want anyone in a situation that is not in their best interest. I don't need my players to be the first or second pick. I want them to be the right pick for that team, so they can get a fair shot at playing.
"And for the most part, that is what has happened. We've had players taken lower than they should have gone. I've had players taken higher than I expected. So my experience has been to always be honest. The players appreciate it and the coaches do, too."
The Connecticut Sun choose first and are expected to take Stanford's Chiney Ogwumike to fill their power forward slot next to Tina Charles. If the Sun decide on Baylor's Odyssey Sims instead, the Tulsa Shock will take Ogwumike.
The San Antonio Stars pick third and it's no secret that Dan Hughes, their coach/GM, has talked to Auriemma about Dolson, the multitalented All-American. But they have re-signed a like-talent, former Stanford center Jayne Appel. And taking Dolson means passing on Maryland's Alyssa Thomas and Notre Dame's Kayla McBride, also legitimate top four picks.
So Dolson might slip, but she says where she goes does not matter.
"I'm just excited," Dolson said. "I think it's been a great four years here at Connecticut. All great things have to come to an end. I'm just excited and really anxious to get the next chapter of my life started. To be able to keep playing basketball is definitely a dream of all of ours. I'm excited to keep going."
Kara Lawson, the veteran WNBA guard and ESPN analyst, said Dolson is ready for the next step.
"I am a big fan of Stefanie," Lawson said. "As a guard that fashions herself as someone who likes to shoot, I love her because she gets people open. Her commitment to aspects of the game such as screening and passing is so impressive.
"You watch her and think to yourself how cool it would be to play with her. She kind of gets it offensively; great energy and highly skilled. She will play in this league for as long as she wants to play."
Hartley, who scored more than 1,500 points (1,994) with over 500 rebounds, 500 assists and 200 steals at UConn, seems a good bet to be around when the Indiana Fever chose fifth.
"How do [the Fever] fill the shoes of Katie Douglas [who signed with the Connecticut Sun]," said ESPN's Carolyn Peck. "Karima Christmas got tremendous experience last season. They brought over Marissa Coleman. They lost Erin Phillips. Sometimes she was a starting point guard, sometimes she was a backup.
"When you look at what is available at five, what could possibly be there, would that be a Bria Hartley or Shoni Schimmel? Do you pass at No. 5 on Stefanie Dolson? That would be tough to do because coming out of the Connecticut program, you know she's going to be mentally tough and ready to take on the grind of the WNBA."
Fever coach Lin Dunn came to Storrs to watch Hartley and Dolson practice before their NCAA first-round game against Prairie View.
"You asked if I would take Hartley at five?" Dunn said. "Of course, we're looking at Hartley at five. I think when we get to the fifth pick there, we've got McBride, Hartley, Howard, Dolson, Thomas. We're looking closely at all five of those players. Would I consider taking Hartley at five? Absolutely we would."
Lawson described Hartley as "an interesting" player.
"Her speed is very good and her shot is very good," Lawson said. "I don't know whether she a point or shooting guard, which is OK. She can play both. I would like to see her physically stronger, but she is very skilled and tough. She has confidence and she is a winner."Copyright © 2015, The Baltimore Sun