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The 19-year-old defender could be set for his first spell away from Arsenal, according to Polish outlet First Eleven.
Only Arsene Wenger stands in the way of the youngster completing a move to the League One side.
The Arsenal boss must decide if he wants Bielik to join the Addicks in a deal which would be for the rest of the season.
Bielik is highly thought of at Arsenal but is some way down the pecking order at the Emirates.
Laurent Koscielny and Shkodran Mustafi have built a strong central defender partnership this season.
Club captain Per Mertesacker, Gabriel and Rob Holding are all also ahead of Bielik.
So a loan away would give him first-team experience which he won’t be getting at Arsenal in the near future.
He has made two appearances for Wenger’s side, both coming in the EFL Cup.
Wenger must now decide if Charlton is the right club for him.