McIlroy described the abuse as “unacceptable” and said it should be “off-limits”.
Sprague says he plans on apologising to McIlroy and his family.
“I haven’t spoken to Rory or Erica [McIlroy] but I do plan on sending them an email with my heartfelt apologies because of what occurred,” he said.
McIlroy suffered lengthy abuse before eventually snapping by swearing at a spectator that called out while he was addressing the ball.
“I chirped back because it got to me a few times, but we tried to handle everything that came our way with class and poise, and for the most part, I felt like we did that,” said McIlroy.
“It was a rough week for all of us. But at the same time, we shut them up by our performance.”
On Monday, Europe captain Luke Donald told BBC Sport that many Americans had told him “how embarrassed they were for some of their fans”, and that this issue “needs to be addressed”.
