"The X-Factor" judge Simon Cowell shared an adorable photo of his son, Eric on Twitter, reports E! News.

In the photo, the music producer gently holds his son, who is laying down in a bath cradle in a shallow tub. With a teal towel draped around him, the cute four-month-old stares up at his father in wonder. A simple caption of "Bath Time!" accompanied the picture.

The excited new father has been updating the public about his son's growth online through Twitter. In one Twitpic, Simon expressed his affection for a new-born Eric with a loving caption. "I never knew how much love and pride I would feel," the post read.

Although Cowell adores his new baby and enjoys bathing him, no one will ever see a picture of him changing diapers. The 54-year-old father told BBC in an interview before Eric's birth, "I'm not doing that [changing diapers], 100 percent absolutely not going near that."

Meanwhile, the doting father revealed in an interview with The Sun that he would support Eric should he want to become a singer. However, being Simon Cowell's son does not excuse him from the stern judge's frank judgment.

"I'll tell him straight if he can't do it!" The "Britain's Got Talent" judge said, "Admittedly, I might not be quite as blunt as I am with some of the contestants."

Cowell also confessed to The Sun that he would really want his son to be involved in the music business. He wants his son to follow his footsteps.

The proud father added, "In time, he's going to inherit my business. That's certainly the plan."

Baby Eric might have to share the Cowell empire though, as the former "American Idol" judge plans to have more children in the future. He told Extra that he wanted Eric to grow up with a brother or two.