Time::Seconds and autodie?

bar.pl

use strict;
use warnings;
use Time::Seconds qw(ONE_DAY);
use Time::Piece;

print( (localtime() - ONE_DAY)->ymd);
print $/;

foo.pl

use strict;
use warnings;
use autodie;
use Time::Seconds qw(ONE_DAY);
use Time::Piece;

print( (localtime() - ONE_DAY)->ymd);
print $/;

Result

 [5.18.0] perl foo.pl
2013-09-05
 [5.18.0] perl bar.pl
Bareword "ONE_DAY" not allowed while "strict subs" in use at bar.pl line 6.
Execution of bar.pl aborted due to compilation errors.