The Bhoys have lost a host of players to the Premier League in recent years, with Victor Wanyama, Fraser Forster and Virgil van Dijk all heading to Southampton since the 2013 summer transfer window.
Celtic don't have as many star players tipped for Premier League success as they did during the early 2000's, but one player who has caught the eye if defender Kieran Tierney.
The 18-year-old Scottish international, born on the Isle of Man, grew up supporting Celtic and joined the club as a seven-year-old, making his way up through the ranks with the Glasgow giants.
This term, Tierney has remarkably established himself as Celtic's first choice left back, taking over from the long-serving Emilio Izaguirre - and doing it in some style.
Tierney has starred with his energy to get up and down the left flank, and his ability both defensively and going forward have made him one of the most impressive teenagers in Europe.
Now, the Daily Star report that Arsenal are keen to beat Liverpool to Tierney's signature, and are willing to offer around £5m to try and land him, with Arsene Wenger possibly looking for somebody to develop behind experienced starter Nacho Monreal.
Celtic will be well aware that they have a real wonderkid on their hands, and £5m would surely be nowhere near what the Bhoys are looking for - meaning Arsenal may have to increase their offer or risk losing him to a major Premier League rival.
Do you think Tierney would be a good signing for Celtic?