diff --git a/lib/prawn/text/formatted/box.rb b/lib/prawn/text/formatted/box.rb
index 16b6b3a4f..ceb02dfee 100644
--- a/lib/prawn/text/formatted/box.rb
+++ b/lib/prawn/text/formatted/box.rb
@@ -226,7 +226,7 @@ def render(flags = {})
                     if @rotate != 0 && @inked
                       render_rotated(text)
                     else
-                      wrap(text)
+                      wrap(text, epsilon: -0.000001)
                     end
                   @inked = false
                 end
@@ -550,7 +550,7 @@ def shrink_to_fit(text)
           loop do
             if @disable_wrap_by_char && @font_size > @min_font_size
               begin
-                wrap(text)
+                wrap(text, epsilon: 0.000001)
               rescue Errors::CannotFit
                 # Ignore errors while we can still attempt smaller
                 # font sizes.
diff --git a/lib/prawn/text/formatted/line_wrap.rb b/lib/prawn/text/formatted/line_wrap.rb
index eac14dff3..858e78342 100644
--- a/lib/prawn/text/formatted/line_wrap.rb
+++ b/lib/prawn/text/formatted/line_wrap.rb
@@ -46,7 +46,7 @@ def wrap_line(options)
             fragment.lstrip! if first_fragment_on_this_line?(fragment)
             next if empty_line?(fragment)
 
-            unless apply_font_settings_and_add_fragment_to_line(fragment)
+            unless apply_font_settings_and_add_fragment_to_line(fragment, epsilon: options[:epsilon])
               break
             end
           end
@@ -74,10 +74,10 @@ def next_string_newline?
           @arranger.preview_next_string == "\n"
         end
 
-        def apply_font_settings_and_add_fragment_to_line(fragment)
+        def apply_font_settings_and_add_fragment_to_line(fragment, epsilon: 0.0)
           result = nil
           @arranger.apply_font_settings do
-            result = add_fragment_to_line(fragment)
+            result = add_fragment_to_line(fragment, epsilon: epsilon)
           end
           result
         end
@@ -85,7 +85,7 @@ def apply_font_settings_and_add_fragment_to_line(fragment)
         # returns true if all text was printed without running into the end of
         # the line
         #
-        def add_fragment_to_line(fragment)
+        def add_fragment_to_line(fragment, epsilon: 0.0)
           case fragment
           when ''
             true
@@ -101,7 +101,7 @@ def add_fragment_to_line(fragment)
                   @document.width_of(segment, kerning: @kerning)
                 end
 
-              if @accumulated_width + segment_width <= @width
+              if @accumulated_width + segment_width <= @width + epsilon
                 @accumulated_width += segment_width
                 shy = soft_hyphen(segment.encoding)
                 if segment[-1] == shy
diff --git a/lib/prawn/text/formatted/wrap.rb b/lib/prawn/text/formatted/wrap.rb
index 81b4fdac5..45b0b7872 100644
--- a/lib/prawn/text/formatted/wrap.rb
+++ b/lib/prawn/text/formatted/wrap.rb
@@ -44,7 +44,7 @@ def initialize(_array, options)
         #
         # Returns any formatted text that was not printed
         #
-        def wrap(array) # :nodoc:
+        def wrap(array, epsilon: 0.0) # :nodoc:
           initialize_wrap(array)
 
           stop = false
@@ -57,7 +57,8 @@ def wrap(array) # :nodoc:
               kerning: @kerning,
               width: available_width,
               arranger: @arranger,
-              disable_wrap_by_char: @disable_wrap_by_char
+              disable_wrap_by_char: @disable_wrap_by_char,
+              epsilon: epsilon
             )
 
             if enough_height_for_this_line?
diff --git a/spec/prawn/text/box_spec.rb b/spec/prawn/text/box_spec.rb
index 6234d07d8..489fbd46f 100644
--- a/spec/prawn/text/box_spec.rb
+++ b/spec/prawn/text/box_spec.rb
@@ -1,6 +1,7 @@
 # frozen_string_literal: true
 
 require 'spec_helper'
+require 'byebug'
 
 describe Prawn::Text::Box do
   let(:pdf) { create_pdf }
@@ -830,6 +831,24 @@
         )
       end
 
+      it 'displays the entire text when the box is just big enough' do
+        text = 'Two words'
+        size = 12.0
+        text_box = described_class.new(
+          text,
+          options.merge(
+            size: size,
+            width: 56.328, # pdf.width_of(text, size: size),
+            height: 12.0, # pdf.height_of(text, size: size),
+            overflow: :shrink_to_fit,
+            disable_wrap_by_char: true
+          )
+        )
+
+        overflow = text_box.render
+        expect(overflow).to eq('')
+      end
+
       it 'displays the entire text' do
         text_box.render
         expect(text_box.text.tr("\n", ' ')).to eq(text.strip)